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Asymptotic stability of vacuum twisting type II metrics (2012)

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In: Journal of Mathematical Physics

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Publikationsdatum: 2012-02-08

Beschreibung: Wlodzimierz Natorf We generalize the result of Lukacs et al. on asymptotic stability of the Schwarzschild metric with respect to perturbations in the Robinson-Trautman class of metrics to the case of Petrov type II twisting metrics, under the condition of asymptotic flatness at future null infinity. The Bondi energy i ... [J. Math. Phys. 53, 022503 (2012)] published Tue Feb 7, 2012.

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Planar waveguide with twisted boundary conditions: Small width (2012)

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In: Journal of Mathematical Physics

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Publikationsdatum: 2012-02-08

Beschreibung: Denis Borisov and Giuseppe Cardone We consider a planar waveguide with twisted boundary conditions. By twisting we mean a special combination of Dirichlet and Neumann boundary conditions. Assuming that the width of the waveguide goes to zero, we identify the effective (limiting) operator as the width of the waveguide tends to zero, e ... [J. Math. Phys. 53, 023503 (2012)] published Tue Feb 7, 2012.

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103

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Solitonic solutions of Faddeev model (2012)

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In: Journal of Mathematical Physics

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Publikationsdatum: 2012-02-08

Beschreibung: Chang-Guang Shi and Minoru Hirayama An application of the equation proposed by the present authors, which is equivalent to the static field equation of the Faddeev model, is discussed. Under some assumptions on the space and on the form of the solution, the field equation is reduced to a nonlinear ordinary differential equation of sec ... [J. Math. Phys. 53, 022301 (2012)] published Tue Feb 7, 2012.

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104

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Rational solutions of the Noumi and Yamada system of type A (2012)

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In: Journal of Mathematical Physics

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Publikationsdatum: 2012-02-09

Beschreibung: Kazuhide Matsuda We completely classify the rational solutions of the Noumi and Yamada system of type A, which is a generalization of the fourth Painleve equation. The rational solutions are classified to three by the Backlund transformation group. ... [J. Math. Phys. 53, 023504 (2012)] published Wed Feb 8, 2012.

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105

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Stability of multi-Jensen mappings in non-Archimedean normed spaces (2012)

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In: Journal of Mathematical Physics

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Publikationsdatum: 2012-02-14

Beschreibung: Tian Zhou Xu In this paper, we study the stability of the multi-Jensen mappings in non-Archimedean normed spaces. The results improve and extend some recent results. ... [J. Math. Phys. 53, 023507 (2012)] published Mon Feb 13, 2012.

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106

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Delay time in quaternionic quantum mechanics (2012)

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In: Journal of Mathematical Physics

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Publikationsdatum: 2012-02-14

Beschreibung: Stefano De Leo and Gisele Ducati In looking for quaternionic violations of quantum mechanics, we discuss the delay time for pure quaternionic potentials. Our study shows the energy region which amplifies the difference between quaternionic and complex quantum mechanics. ... [J. Math. Phys. 53, 022102 (2012)] published Mon Feb 13, 2012.

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107

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On convergent series representations of Mellin-Barnes integrals (2012)

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In: Journal of Mathematical Physics

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Publikationsdatum: 2012-02-14

Beschreibung: Samuel Friot and David Greynat Multiple Mellin-Barnes integrals are often used for perturbative calculations in particle physics. In this context, the evaluation of such objects may be performed through residues calculations which lead to their expression as multiple power series and logarithms of the parameters involved in the p ... [J. Math. Phys. 53, 023508 (2012)] published Mon Feb 13, 2012.

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108

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Dirac equation for generalized Poschl-Teller scalar and vector potentials and a Coulomb tensor interaction by Nikiforov-Uvarov method (2012)

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In: Journal of Mathematical Physics

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Publikationsdatum: 2012-02-16

Beschreibung: H. Hassanabadi, E. Maghsoodi, S. Zarrinkamar, and H. Rahimov Approximate analytical solutions of spin and pseudospin symmetry limits of Dirac equation are reported for the generalized Poschl-Teller scalar and vector potentials and a Coulomb tensor interaction by Nikiforov-Uvarov method. On the contrary to the cumbersome numerical procedures, the analytical ap ... [J. Math. Phys. 53, 022104 (2012)] published Wed Feb 15, 2012.

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Exact solutions of coupled Lienard-type nonlinear systems using factorization technique (2012)

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In: Journal of Mathematical Physics

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Publikationsdatum: 2012-02-16

Beschreibung: Tamaghna Hazra, V. K. Chandrasekar, R. Gladwin Pradeep, and M. Lakshmanan General solutions of nonlinear ordinary differential equations (ODEs) are in general difficult to find; although, powerful integrability techniques exist in the literature for this purpose. It has been shown that in some scalar cases particular solutions may be found with little effort if it is poss ... [J. Math. Phys. 53, 023511 (2012)] published Wed Feb 15, 2012.

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110

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Curvature in sub-Riemannian geometry (2012)

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In: Journal of Mathematical Physics

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Publikationsdatum: 2012-02-18

Beschreibung: Aurel Bejancu We study curvature problems on a nearly Riemannian manifold, which is a sub-Riemannian manifold (M, HM, g, VM) whose adapted tensor field given by (2.2) vanishes identically. First, we prove the existence and uniqueness of what we call horizontal Riemannian connection, which is a torsion-free and me ... [J. Math. Phys. 53, 023513 (2012)] published Fri Feb 17, 2012.

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111

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Characteristic particle trajectories for an eigenfunction (2012)

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In: Journal of Mathematical Physics

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Publikationsdatum: 2012-12-19

Beschreibung: A. Elci The jet space of the Schrodinger equation and Noether's theorem are used to determine a set of particle trajectories that belong exclusively to an eigenfunction. These trajectories depend on a vector field [script A]-vector which satisfies two partial differential equations. Characteristic trajector ... [J. Math. Phys. 53, 122107 (2012)] published Tue Dec 18, 2012.

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112

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Linear maps preserving maximal deviation and the Jordan structure of quantum systems (2012)

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In: Journal of Mathematical Physics

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Publikationsdatum: 2012-12-20

Beschreibung: Jan Hamhalter In the algebraic approach to quantum theory, a quantum observable is given by an element of a Jordan algebra and a state of the system is modelled by a normalized positive functional on the underlying algebra. Maximal deviation of a quantum observable is the largest statistical deviation one can obt ... [J. Math. Phys. 53, 122208 (2012)] published Wed Dec 19, 2012.

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113

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On a critical radiation density in the Friedmann equation (2012)

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Publikationsdatum: 2012-12-20

Beschreibung: Hellmut Baumgartel The paper presents a classification of the basic types of admissible solutions of the general Friedmann equation with non-vanishing cosmological constant and for the case that radiation and matter do not couple. There are four distinct types. The classification uses first the discriminant of a polyn ... [J. Math. Phys. 53, 122505 (2012)] published Wed Dec 19, 2012.

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Editorial: Wedge Causal Manifolds - An Unfinished Work of Hans-Jurgen Borchers (2012)

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In: Journal of Mathematical Physics

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Publikationsdatum: 2012-12-20

Beschreibung: Stefan Hollands and Karl-Henning Rehren Abstract not available. [J. Math. Phys. 53, 120401 (2012)] published Wed Dec 19, 2012.

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115

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Coupled electromagnetic TE-TM wave propagation in a layer with Kerr nonlinearity (2012)

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In: Journal of Mathematical Physics

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Publikationsdatum: 2012-12-20

Beschreibung: Yury G. Smirnov and Dmitry V. Valovik Coupled polarized electromagnetic wave propagation in a nonlinear dielectric layer filled with lossless, nonmagnetic, and isotropic medium is considered. The layer is located between two half-spaces with constant permittivities. The permittivity in the layer is described by Kerr law. Considered coup ... [J. Math. Phys. 53, 123530 (2012)] published Wed Dec 19, 2012.

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116

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Inhomogeneous Fermi and quantum spin systems on lattices (2012)

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In: Journal of Mathematical Physics

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Publikationsdatum: 2012-11-09

Beschreibung: J.-B. Bru and W. de Siqueira Pedra We study the thermodynamic properties of a certain type of space-inhomogeneous Fermi and quantum spin systems on lattices. We are particularly interested in the case where the space scale of the inhomogeneities stays macroscopic, but very small as compared to the side-length of the box containing fe ... [J. Math. Phys. 53, 123301 (2012)] published Thu Nov 8, 2012.

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Some necessary and sufficient conditions for admitting a continuous sphere order representation of two-dimensional space-times (2012)

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In: Journal of Mathematical Physics

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Publikationsdatum: 2012-11-09

Beschreibung: M. Vatandoost and Y. Bahrampour A space-time may be regarded as a partially ordered set by causal relations. Recently, as a poset, a sphere order representation of a space-time is considered and some interesting results are obtained. In this paper, we define a weakly causally convex open set and characterize connected open subsets ... [J. Math. Phys. 53, 122501 (2012)] published Thu Nov 8, 2012.

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118

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Free unitary groups are (almost) simple (2012)

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In: Journal of Mathematical Physics

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Publikationsdatum: 2012-11-14

Beschreibung: Alexandru Chirvasitu We show that the quotients of Wang and Van Daele's universal quantum groups by their centers are simple in the sense that they have no normal quantum subgroups, thus providing the first examples of simple compact quantum groups with non-commutative fusion rings. ... [J. Math. Phys. 53, 123509 (2012)] published Tue Nov 13, 2012.

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Theory of the dynamic Biot-Allard equations and their link to the quasi-static Biot system (2012)

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In: Journal of Mathematical Physics

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Publikationsdatum: 2012-11-14

Beschreibung: Andro Mikelic and Mary F. Wheeler We undertake establishing well-posedness of the dynamic Biot-Allard equations. It is obtained using the precise properties of the dynamic permeability matrix following the homogenization derivation of the model. By taking the singular limit of the contrast coefficient, the quasi-static Biot system c ... [J. Math. Phys. 53, 123702 (2012)] published Tue Nov 13, 2012.

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120

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Weak commutation relations of unbounded operators: Nonlinear extensions (2012)

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In: Journal of Mathematical Physics

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Publikationsdatum: 2012-11-14

Beschreibung: Fabio Bagarello, Atsushi Inoue, and Camillo Trapani We continue our analysis of the consequences of the commutation relation [S,T]=[openface 1], where S and T are two closable unbounded operators. The weak sense of this commutator is given in terms of the inner product of the Hilbert space [script H], where the operators act. We also consider what we ... [J. Math. Phys. 53, 123510 (2012)] published Tue Nov 13, 2012.

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On Fermat's principle for causal curves in time oriented Finsler spacetimes (2012)

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Publikationsdatum: 2012-11-14

Beschreibung: Ricardo Gallego Torrome, Paolo Piccione, and Henrique Vitorio In this work, a version of Fermat's principle for causal curves with the same energy in time orientable Finsler spacetimes is proved. We calculate the second variation of the time arrival functional along a geodesic in terms of the index form associated with the Finsler spacetime Lagrangian. Then th ... [J. Math. Phys. 53, 123511 (2012)] published Tue Nov 13, 2012.

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122

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Group-theoretical derivation of angular momentum eigenvalues in spaces of arbitrary dimensions (2012)

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In: Journal of Mathematical Physics

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Publikationsdatum: 2012-11-14

Beschreibung: Tamar Friedmann and C. R. Hagen The spectrum of the square of the angular momentum in arbitrary dimensions is derived using only group theoretical techniques. This is accomplished by application of the Lie algebra of the noncompact group O(2, 1). ... [J. Math. Phys. 53, 122102 (2012)] published Tue Nov 13, 2012.

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Fractional wave-diffusion equation with periodic conditions (2012)

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Publikationsdatum: 2012-12-11

Beschreibung: F. S. Costa and E. Capelas de Oliveira We study a time-space fractional wave-diffusion equation with periodic conditions using Laplace transforms and Fourier series and presenting its solution in terms of three-parameter Mittag-Leffler functions. As a particular case we recover a recent result. We also present some graphics associated wi ... [J. Math. Phys. 53, 123520 (2012)] published Mon Dec 10, 2012.

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A perturbative approach to the spectral zeta functions of strings, drums, and quantum billiards (2012)

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Publikationsdatum: 2012-12-11

Beschreibung: Paolo Amore We show that the spectral zeta functions of inhomogeneous strings and drums can be calculated using Rayleigh-Schrodinger perturbation theory. The inhomogeneities that can be treated with this method are small but otherwise arbitrary and include the previously studied case of a piecewise constant den ... [J. Math. Phys. 53, 123519 (2012)] published Mon Dec 10, 2012.

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Pullback asymptotic behavior of solutions for a non-autonomous non-Newtonian fluid on two-dimensional unbounded domains (2012)

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Publikationsdatum: 2012-12-11

Beschreibung: Caidi Zhao This paper studies the pullback asymptotic behavior of solutions for a non-autonomous non-Newtonian fluid on Omega=[openface R] x (L,L) for some L 〉 0. We first use the technique of truncation functions together with the decomposition of spatial domain to prove the existence of a pullback attractor ... [J. Math. Phys. 53, 122702 (2012)] published Mon Dec 10, 2012.

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Some applications of hypercontractive inequalities in quantum information theory (2012)

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In: Journal of Mathematical Physics

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Publikationsdatum: 2012-12-11

Beschreibung: Ashley Montanaro Hypercontractive inequalities have become important tools in theoretical computer science and have recently found applications in quantum computation. In this note we discuss how hypercontractive inequalities, in various settings, can be used to obtain (fairly) concise proofs of several results in q ... [J. Math. Phys. 53, 122206 (2012)] published Mon Dec 10, 2012.

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Schrodinger operators on star graphs with singularly scaled potentials supported near the vertices (2012)

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Publikationsdatum: 2012-12-11

Beschreibung: S. S. Man'ko We study Schrodinger operators on star metric graphs with potentials of the form alpha[eh]Q([eh]x). In dimension 1 such potentials, with additional assumptions on Q, approximate in the sense of distributions as [eh] --〉 0 the first derivative of the Dirac delta-function. We establish the convergence ... [J. Math. Phys. 53, 123521 (2012)] published Mon Dec 10, 2012.

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Universality in bipartite mean field spin glasses (2012)

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Publikationsdatum: 2012-12-06

Beschreibung: Giuseppe Genovese In this work, we give a proof of universality with respect to the choice of the statistical distribution of the quenched noise, for mean field bipartite spin glasses. We use mainly techniques of spin glasses theory, as Guerra's interpolation and the cavity approach. ... [J. Math. Phys. 53, 123304 (2012)] published Wed Dec 5, 2012.

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Quantum state discrimination bounds for finite sample size (2012)

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In: Journal of Mathematical Physics

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Publikationsdatum: 2012-12-08

Beschreibung: Koenraad M. R. Audenaert, Milan Mosonyi, and Frank Verstraete In the problem of quantum state discrimination, one has to determine by measurements the state of a quantum system, based on the a priori side information that the true state is one of the two given and completely known states, rho or sigma. In general, it is not possible to decide the identity of t ... [J. Math. Phys. 53, 122205 (2012)] published Fri Dec 7, 2012.

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Erratum: Whittaker pairs for the Virasoro algebra and the Gaiotto-Bonelli-Maruyoshi-Tanzini states [J. Math. Phys. 53, 033504 (2012)] (2012)

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Publikationsdatum: 2012-12-15

Beschreibung: Ewa Felinska, Zbigniew Jaskolski, and Michal Kosztolowicz A flow in the formulation and proof of Lemma 2.7 of E. Felinska, Z. Jaskolski, and M. M. Kosztolowicz, J. Math. Phys. 53, 033504 (2012) is fixed in Sec. I of this Erratum. This has no consequences for the rest of the paper. An essential error was made in Theorems 3.5, 3.6, and Corollary 3.7 of Sec. ... [J. Math. Phys. 53, 129902 (2012)] published Fri Dec 14, 2012.

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Critical behavior in Angelesco ensembles (2012)

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Publikationsdatum: 2012-12-15

Beschreibung: K. Deschout and A. B. J. Kuijlaars We consider Angelesco ensembles with respect to two modified Jacobi weights on touching intervals [a, 0] and [0, 1], for a 〈 0. As a --〉 1 the particles around 0 experience a phase transition. This transition is studied in a double scaling limit, where we let the number of particles of the ensemble ... [J. Math. Phys. 53, 123523 (2012)] published Fri Dec 14, 2012.

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Multiple solutions for semilinear resonance elliptic problems with nonconstant coefficients at infinity (2012)

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Publikationsdatum: 2012-12-15

Beschreibung: Rong Cheng, Jianhua Hu, and Zhiyong Wang In this paper, we study a class of semilinear elliptic equations which are completely resonant with nonconstant coefficients at origin and at infinity. By applying Morse theory and Minimax method, we obtain the existence of multiple nontrivial solutions for the equations. ... [J. Math. Phys. 53, 123524 (2012)] published Fri Dec 14, 2012.

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Information geometric characterization of the complexity of fractional Brownian motions (2012)

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Publikationsdatum: 2012-12-18

Beschreibung: Linyu Peng, Huafei Sun, and Guoquan Xu The complexity of the fractional Brownian motions is investigated from the viewpoint of information geometry. By introducing a Riemannian metric on the space of their power spectral densities, the geometric structure is achieved. Based on the general construction, for an example, whose power spectra ... [J. Math. Phys. 53, 123305 (2012)] published Mon Dec 17, 2012.

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An initial and boundary-value problem for the Zakharov-Kuznestov equation in a bounded domain (2012)

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Publikationsdatum: 2012-10-13

Beschreibung: Jean-Claude Saut, Roger Temam, and Chuntian Wang Motivated by the study of boundary control problems for the Zakharov-Kuznetsov equation, we study in this article the initial and boundary value problem for the ZK (short for Zakharov-Kuznetsov) equation posed in a limited domain Omega = (0, 1) x (pi/2, pi/2), d = 1, 2. This article is related to ... [J. Math. Phys. 53, 115612 (2012)] published Fri Oct 12, 2012.

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Multiscale turbulence models based on convected fluid microstructure (2012)

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Publikationsdatum: 2012-10-13

Beschreibung: Darryl D. Holm and Cesare Tronci The Euler-Poincare approach to complex fluids is used to derive multiscale equations for computationally modeling Euler flows as a basis for modeling turbulence. The model is based on a kinematic sweeping ansatz (KSA) which assumes that the mean fluid flow serves as a Lagrangian frame of motion for ... [J. Math. Phys. 53, 115614 (2012)] published Fri Oct 12, 2012.

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Vortex stretching and criticality for the three-dimensional Navier-Stokes equations (2012)

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Publikationsdatum: 2012-10-13

Beschreibung: R. Dascaliuc and Z. Grujic A mathematical evidencein a statistically significant senseof a geometric scenario leading to criticality of the Navier-Stokes problem is presented. ... [J. Math. Phys. 53, 115613 (2012)] published Fri Oct 12, 2012.

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Stability and the continuum limit of the spin-polarized Thomas-Fermi-Dirac-von Weizsacker model (2012)

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Publikationsdatum: 2012-10-13

Beschreibung: Weinan E and Jianfeng Lu The continuum limit of the spin-polarized Thomas-Fermi-Dirac-von Weizsacker model in an external magnetic field is studied. An extension of the classical Cauchy-Born rule for crystal lattices is established for the electronic structure under sharp stability conditions on charge density and spin dens ... [J. Math. Phys. 53, 115615 (2012)] published Fri Oct 12, 2012.

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Convergence rates of vanishing diffusion limit on nonlinear hyperbolic system with damping and diffusion (2012)

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Publikationsdatum: 2012-09-25

Beschreibung: Lizhi Ruan and Haiyan Yin The aim of this paper is to study the global unique solvability on C-solution to the Cauchy problem of a special 2 x 2 nonlinear hyperbolic system with damping and diffusion. Furthermore, we also investigate the convergence rates as the diffusion parameter beta goes to zero. It is shown that the c ... [J. Math. Phys. 53, 103703 (2012)] published Mon Sep 24, 2012.

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Smallest eigenvalue distributions for two classes of beta-Jacobi ensembles (2012)

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Publikationsdatum: 2012-09-25

Beschreibung: Ioana Dumitriu We compute the exact and limiting smallest eigenvalue distributions for two classes of beta-Jacobi ensembles not covered by previous studies. In the general beta case, these distributions are given by multivariate hypergeometric F functions, whose behavior can be analyzed asymptotically for special ... [J. Math. Phys. 53, 103301 (2012)] published Mon Sep 24, 2012.

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Asymptotic analysis of the Boltzmann equation for dark matter relics (2012)

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Publikationsdatum: 2012-09-28

Beschreibung: Carl M. Bender and Sarben Sarkar This paper presents an asymptotic analysis of the Boltzmann equations (Riccati differential equations) that describe the physics of thermal dark-matter-relic abundances. Two different asymptotic techniques are used, boundary-layer theory, which makes use of asymptotic matching, and the delta expansi ... [J. Math. Phys. 53, 103509 (2012)] published Thu Sep 27, 2012.

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Coherence and decoherence in the brain (2012)

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Publikationsdatum: 2012-09-28

Beschreibung: K. Hepp This review provides many entry points to controversies in neuroscience, where input from mathematical physics could be fruitful, especially about coherence and decoherence in the brain, both on the level of classical and quantum mechanics. ... [J. Math. Phys. 53, 095222 (2012)] published Thu Sep 27, 2012.

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Characterization of informational completeness for covariant phase space observables (2012)

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Publikationsdatum: 2012-09-28

Beschreibung: J. Kiukas, P. Lahti, J. Schultz, and R. F. Werner In the nonrelativistic setting with finitely many canonical degrees of freedom, a shift-covariant phase space observable is uniquely characterized by a positive operator of trace one and, in turn, by the Fourier-Weyl transform of this operator. We study three properties of such observables, and char ... [J. Math. Phys. 53, 102103 (2012)] published Thu Sep 27, 2012.

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The Hartree limit of Born's ensemble for the ground state of a bosonic atom or ion (2012)

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Publikationsdatum: 2012-09-28

Beschreibung: Michael K.-H. Kiessling The non-relativistic bosonic ground state is studied for quantum N-body systems with Coulomb interactions, modeling atoms or ions made of N bosonic point electrons bound to an atomic point nucleus of Z absolute electron charges, treated in BornOppenheimer approximation (the nuclear mass M = [infinit ... [J. Math. Phys. 53, 095223 (2012)] published Thu Sep 27, 2012.

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Tsallis entropies and matrix trace inequalities in quantum statistical mechanics (2012)

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Publikationsdatum: 2012-10-05

Beschreibung: N. Bebiano, J. da Providencia, and J. P. da Providencia Extensions of trace inequalities arising in statistical mechanics are derived in a straightforward and unified way from a variational characterization of the Tsallis entropy. Namely, one-parameter extension of the thermodynamic inequality is presented and its equivalence to a generalized PeierlsBogo ... [J. Math. Phys. 53, 103303 (2012)] published Thu Oct 4, 2012.

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Real analytic quasi-periodic solutions for the derivative nonlinear Schrodinger equations (2012)

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Publikationsdatum: 2012-10-05

Beschreibung: Jiansheng Geng and Jian Wu In this paper, we show that one dimension derivative nonlinear Schrodinger equation admits a whitney smooth family of small amplitude, real analytic quasi-periodic solutions with two Diophantine frequencies. The proof is based on a partial Birkhoff normal form reduction and an abstract infinite dime ... [J. Math. Phys. 53, 102702 (2012)] published Thu Oct 4, 2012.

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The fate of the Wilson-Fisher fixed point in non-commutative phi (2012)

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Publikationsdatum: 2012-10-05

Beschreibung: Badis Ydri and Adel Bouchareb In this article we study non-commutative vector sigma model with the most general phi interaction on Moyal-Weyl spaces. We compute the 2- and 4-point functions to all orders in the large N limit and then apply the approximate Wilson renormalization group recursion formula to study the renormalized c ... [J. Math. Phys. 53, 102301 (2012)] published Thu Oct 4, 2012.

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On left Hopf algebras within the framework of inhomogeneous quantum groups for particle algebras (2012)

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Publikationsdatum: 2012-10-05

Beschreibung: Suemi Rodriguez-Romo We deal with some matters needed to construct concrete left Hopf algebras for inhomogeneous quantum groups produced as noncommutative symmetries of fermionic and bosonic creation/annihilation operators. We find a map for the bidimensional fermionic case, produced as in Manin's [Quantum Groups and No ... [J. Math. Phys. 53, 102104 (2012)] published Thu Oct 4, 2012.

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Dziobek configurations of the restricted (N + 1)-body problem with equal masses (2012)

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Publikationsdatum: 2012-07-13

Beschreibung: Ya-lun Tsai In this article, we count the number of (N 1)-dimensional central configurations of the restricted (N + 1)-body problem with equal masses. For N = 4, 5, there are 25, 56 central configurations. For N = 3 or N 〉= 6, the number of central configurations is 2 + N 1. ... [J. Math. Phys. 53, 072902 (2012)] published Thu Jul 12, 2012.

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Yet another position-dependent mass quantum model (2012)

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Publikationsdatum: 2012-07-13

Beschreibung: Jonas R. F. Lima, M. Vieira, C. Furtado, F. Moraes, and Cleverson Filgueiras The quantum dynamics of particles with mass dependent on the position is a problem of interest since the effective-mass approach to charge carriers in conductors and semiconductors began to be used. These problems have been solved using the Hamiltonian H=(1/2)m(x)pm(x)pm(x), where alpha and beta are ... [J. Math. Phys. 53, 072101 (2012)] published Thu Jul 12, 2012.

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A new Hamiltonian for the topological BF phase with spinor networks (2012)

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Publikationsdatum: 2012-07-13

Beschreibung: Valentin Bonzom and Etera R. Livine We describe fundamental equations which define the topological ground states in the lattice realization of the SU(2) BF phase. We introduce a new scalar Hamiltonian, based on recent works in quantum gravity and topological models, which is different from the plaquette operator. Its gauge-theoretical ... [J. Math. Phys. 53, 072201 (2012)] published Thu Jul 12, 2012.

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Fokker-Planck equations for nonlinear dynamical systems driven by non-Gaussian Levy processes (2012)

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Publikationsdatum: 2012-07-13

Beschreibung: Xu Sun and Jinqiao Duan The Fokker-Planck equations describe time evolution of probability densities of stochastic dynamical systems and are thus widely used to quantify random phenomena such as uncertainty propagation. For dynamical systems driven by non-Gaussian Levy processes, however, it is difficult to obtain explicit ... [J. Math. Phys. 53, 072701 (2012)] published Thu Jul 12, 2012.

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Deformed noncommutative tori (2012)

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Publikationsdatum: 2012-07-13

Beschreibung: Joakim Arnlind and Harald Grosse We recall a construction of non-commutative algebras related to a one-parameter family of (deformed) spheres and tori, and show that in the case of tori, the *-algebras can be completed into C*-algebras isomorphic to the standard non-commutative torus. As the former was constructed in the context of ... [J. Math. Phys. 53, 073505 (2012)] published Thu Jul 12, 2012.

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The Ricci flow of asymptotically hyperbolic mass and applications (2012)

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Publikationsdatum: 2012-07-13

Beschreibung: T. Balehowsky and E. Woolgar We consider the evolution of the asymptotically hyperbolic mass under the curvature-normalized Ricci flow of asymptotically hyperbolic, conformally compactifiable manifolds. In contrast to asymptotically flat manifolds, for which Arnowitt-Deser-Misner (ADM) mass is constant during Ricci flow, we sho ... [J. Math. Phys. 53, 072501 (2012)] published Thu Jul 12, 2012.

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New solvable discrete-time many-body problem featuring several arbitrary parameters (2012)

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Publikationsdatum: 2012-08-21

Beschreibung: F. Calogero and F. Leyvraz A new dynamical system interpretable as a discrete-time many-body problem is identified, and it is shown how its initial-value problem can be solved by purely algebraic operations. ... [J. Math. Phys. 53, 082702 (2012)] published Mon Aug 20, 2012.

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The rigged Hilbert space approach to the Gamow states (2012)

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Publikationsdatum: 2012-10-20

Beschreibung: Rafael de la Madrid We use the resonances of the spherical shell potential to present a thorough description of the Gamow (quasinormal) states within the rigged Hilbert space. It will be concluded that the natural setting for the Gamow states is a rigged Hilbert space whose test functions fall off at infinity faster th ... [J. Math. Phys. 53, 102113 (2012)] published Fri Oct 19, 2012.

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Realigning random states (2012)

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Publikationsdatum: 2012-10-23

Beschreibung: Guillaume Aubrun and Ion Nechita We study how the realignment criterion (also called computable cross-norm criterion) succeeds asymptotically in detecting whether random states are separable or entangled. We consider random states on C[direct-product]C obtained by partial tracing a Haar-distributed random pure state on C[direct-pro ... [J. Math. Phys. 53, 102210 (2012)] published Mon Oct 22, 2012.

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Conditional expectation and Bayes' rule for quantum random variables and positive operator valued measures (2012)

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Publikationsdatum: 2012-04-12

Beschreibung: Douglas Farenick and Michael J. Kozdron A quantum probability measure nu is a function on a sigma-algebra of subsets of a (locally compact and Hausdorff) sample space that satisfies the formal requirements for a measure, but where the values of nu are positive operators acting on a complex Hilbert space, and a quantum random variable is a ... [J. Math. Phys. 53, 042201 (2012)] published Wed Apr 11, 2012.

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Quantum mechanics on Laakso spaces (2012)

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Publikationsdatum: 2012-04-13

Beschreibung: Christopher J. Kauffman, Robert M. Kesler, Amanda G. Parshall, Evelyn A. Stamey, and Benjamin A. Steinhurst We first review the spectrum of the Laplacian operator on a general Laakso space before considering modified Hamiltonians for the infinite square well, parabola, and Coulomb potentials. Additionally, we compute the spectrum for the Laplacian and its multiplicities when certain regions of a Laakso sp ... [J. Math. Phys. 53, 042102 (2012)] published Thu Apr 12, 2012.

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Steady state solutions for Schrodinger equations governing nonlinear optics (2012)

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Publikationsdatum: 2012-04-05

Beschreibung: Martin Schechter We are able to find nontrivial periodic solutions of the nonlinear steady state Schrodinger equation arising in optics for wide ranges of the parameters. Our results hold in arbitrary dimensions. ... [J. Math. Phys. 53, 043504 (2012)] published Wed Apr 4, 2012.

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A second degree Newton method in inverse scattering problem for a crack (2012)

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Publikationsdatum: 2012-04-05

Beschreibung: Kuo-Ming Lee For the inverse scattering problem from a sound-soft crack a second degree Newton method is proposed in this paper. Based on integral equations method, our scheme splits the inverse problem into a well-posed problem and a nonlinear ill-posed problem which will be linearized using a second degree met ... [J. Math. Phys. 53, 043503 (2012)] published Wed Apr 4, 2012.

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Quantum time of arrival Goursat problem (2012)

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Publikationsdatum: 2012-04-07

Beschreibung: Denny Lane B. Sombillo and Eric A. Galapon The construction of quantum time of arrival operator conjugate to the system Hamiltonian leads to a particular linear homogeneous Goursat problem. In this work, we demonstrate how to approximate the solution of the mentioned differential equation both semi-analytically and numerically with the goal ... [J. Math. Phys. 53, 043702 (2012)] published Fri Apr 6, 2012.

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Recursion operators and conservation laws for discrete Lax equations (2012)

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Publikationsdatum: 2012-04-12

Beschreibung: Hong-Min Li, Biao Li, and Yu-Qi Li In this paper, a method for constructing recursion operator of discrete Lax equations is proposed. To illustrate the method, recursion operators for discrete Boussinesq equation and discrete KdV equation are obtained. Then the recursion operators of continuous Boussinesq equation and KdV equation ar ... [J. Math. Phys. 53, 043506 (2012)] published Wed Apr 11, 2012.

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Erratum: On polynomial invariants of several qubits [J. Math. Phys. 50, 033509 (2009)] (2012)

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Publikationsdatum: 2012-04-13

Beschreibung: Dragomir Z. okovic and Andreas Osterloh Abstract not available. [J. Math. Phys. 53, 049902 (2012)] published Thu Apr 12, 2012.

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Essential self-adjointness of Wick squares in quasi-free Hadamard representations on curved spacetimes (2012)

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Publikationsdatum: 2012-04-17

Beschreibung: Ko Sanders We investigate whether a symmetric, second order Wick polynomial T of a free scalar field, including derivatives, is essentially self-adjoint on the natural (Wightman) domain in a quasi-free (i.e., Fock space) Hadamard representation. Our results apply to arbitrary spacetime dimensions d 〉= 2, but w ... [J. Math. Phys. 53, 042502 (2012)] published Mon Apr 16, 2012.

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Bound state for the fractional Schrodinger equation with unbounded potential (2012)

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Publikationsdatum: 2012-04-12

Beschreibung: Ming Cheng This paper considers the fractional Schrodinger equation with unbounded potential. We prove the existence of ground state by Lagrange multiplier method. The standing wave with prescribed frequency is also obtained by Nehari's manifold approach. In the last part, we obtain that the standing wave is b ... [J. Math. Phys. 53, 043507 (2012)] published Wed Apr 11, 2012.

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Multidimensional lower bounds for the eigenvalues of Stokes and Dirichlet Laplacian operators (2012)

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Publikationsdatum: 2012-04-12

Beschreibung: Selma Yıldırım Yolcu and Turkay Yolcu This article is concerned with the improvements of certain eigenvalue inequalities of Stokes operator and Dirichlet Laplacian related to the Berezin-Li-Yau type inequalities. The formulas proved extend the earlier works of Melas [A lower bound for sums of eigenvalues of the Laplacian, Proc. Am. Math ... [J. Math. Phys. 53, 043508 (2012)] published Wed Apr 11, 2012.

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Counterexamples to ferromagnetic ordering of energy levels (2012)

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Publikationsdatum: 2012-04-14

Beschreibung: Wolfgang Spitzer, Shannon Starr, and Lam Tran The Heisenberg ferromagnet has symmetry group SU(2). The property known as ferromagnetic ordering of energy levels (FOEL) states that the minimum energy eigenvalue among eigenvectors with total spin s is monotone decreasing as a function of s. While this property holds for certain graphs such as ope ... [J. Math. Phys. 53, 043302 (2012)] published Fri Apr 13, 2012.

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Nonlocal gravity: Modified Poisson's equation (2012)

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Publikationsdatum: 2012-04-14

Beschreibung: C. Chicone and B. Mashhoon The recent nonlocal generalization of Einstein's theory of gravitation reduces in the Newtonian regime to a nonlocal and nonlinear modification of Poisson's equation of Newtonian gravity. The nonlocally modified Poisson equation implies that nonlocality can simulate dark matter. Observational data r ... [J. Math. Phys. 53, 042501 (2012)] published Fri Apr 13, 2012.

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Scale dependence of the retarded van der Waals potential (2012)

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Publikationsdatum: 2012-08-30

Beschreibung: Tadahiro Miyao and Herbert Spohn We study the ground state energy for a system of two hydrogen atoms coupled to the quantized Maxwell field in the limit alpha --〉 0 together with the relative distance between the atoms increasing as alphaR, gamma 〉 0. In particular we determine explicitly the crossover function from the R van der W ... [J. Math. Phys. 53, 095215 (2012)] published Wed Aug 29, 2012.

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Indirect Coulomb energy for two-dimensional atoms (2012)

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Publikationsdatum: 2012-08-30

Beschreibung: Rafael D. Benguria and Matej Tusek In this paper we provide a family of lower bounds on the indirect Coulomb energy for atomic and molecular systems in two dimensions in terms of a functional of the single particle density with gradient correction terms. ... [J. Math. Phys. 53, 095213 (2012)] published Wed Aug 29, 2012.

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Well-posedness on large time for a modified full dispersion system of surface waves (2012)

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Publikationsdatum: 2012-08-31

Beschreibung: Jean-Claude Saut and Li Xu By a nonlinear change of variables from the original one, we derive a small steepness full dispersion system for surface water waves which is consistent with the water wave system. This system is symmetrizable and we prove that the Cauchy problem is well-posed on large time of order 1/epsilon where ... [J. Math. Phys. 53, 115606 (2012)] published Thu Aug 30, 2012.

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The existence of uniform attractors for non-autonomous reaction-diffusion equations on the whole space (2012)

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Publikationsdatum: 2012-08-25

Beschreibung: Yongqin Xie, Kaixuan Zhu, and Chunyou Sun In this paper, we introduce a new class of functions satisfying spacial absolutely continuous (see Definition 3.1), denoted by L([openface R];[openface R]), which are translation bounded but not normal (see [S. S. Lu, H. Q. Wu, and C. K. Zhong, Attractors for non-autonomous 2D Navier-Stokes equation ... [J. Math. Phys. 53, 082703 (2012)] published Fri Aug 24, 2012.

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Liouville theorems in unbounded domains for the time-dependent stokes system (2012)

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Publikationsdatum: 2012-08-31

Beschreibung: Hao Jia, Gregory Seregin, and Vladimir Sverak In this paper, we characterize bounded ancient solutions to the time-dependent Stokes system with zero boundary value in various domains, including the half-space. ... [J. Math. Phys. 53, 115604 (2012)] published Thu Aug 30, 2012.

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Coercivity and stability results for an extended Navier-Stokes system (2012)

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Publikationsdatum: 2012-08-31

Beschreibung: Gautam Iyer, Robert L. Pego, and Arghir Zarnescu In this paper, we study a system of equations that is known to extend Navier-Stokes dynamics in a well-posed manner to velocity fields that are not necessarily divergence-free. Our aim is to contribute to an understanding of the role of divergence and pressure in developing energy estimates capable ... [J. Math. Phys. 53, 115605 (2012)] published Thu Aug 30, 2012.

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The nonlinear stability of the trivial solution to the Maxwell-Born-Infeld system (2012)

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Publikationsdatum: 2012-08-23

Beschreibung: Jared Speck In this article, we use an electromagnetic gauge-free framework to establish the existence of small-data global solutions to the Maxwell-Born-Infeld (MBI) system on the Minkowski spacetime background in 1+3 dimensions. Because the nonlinearities in the system have a special null structure, we are al ... [J. Math. Phys. 53, 083703 (2012)] published Wed Aug 22, 2012.

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Path integral approach to the photoionization of one active electron atom by a pulsed Fock state: Fluctuations contribution (2012)

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Publikationsdatum: 2012-08-23

Beschreibung: E. G. Thrapsaniotis We model in a fully quantum mechanical way the dynamics of an atom of one optically active electron interacting with a pulsed Fock state which is linearly polarized. We use path integral methods. We derive the system's sign solved propagator which gives full information on its dynamics. We apply our ... [J. Math. Phys. 53, 082109 (2012)] published Wed Aug 22, 2012.

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Third order integrability conditions for homogeneous potentials of degree 1 (2012)

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Publikationsdatum: 2012-08-28

Beschreibung: Thierry Combot and Christoph Koutschan We prove an integrability criterion of order 3 for a homogeneous potential of degree 1 in the plane. Still, this criterion depends on some integer and it is impossible to apply it directly except for families of potentials whose eigenvalues are bounded. To address this issue, we use holonomic and as ... [J. Math. Phys. 53, 082704 (2012)] published Mon Aug 27, 2012.

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The scaling limit of the energy correlations in non-integrable Ising models (2012)

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Publikationsdatum: 2012-08-30

Beschreibung: Alessandro Giuliani, Rafael L. Greenblatt, and Vieri Mastropietro We obtain an explicit expression for the multipoint energy correlations of a non-solvable two-dimensional Ising models with nearest neighbor ferromagnetic interactions plus a weak finite range interaction of strength lambda, in a scaling limit in which we send the lattice spacing to zero and the tem ... [J. Math. Phys. 53, 095214 (2012)] published Wed Aug 29, 2012.

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The spectral shift function and Levinson's theorem for quantum star graphs (2012)

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Publikationsdatum: 2012-09-01

Beschreibung: Semra Demirel We consider the Schrodinger operator on a star shaped graph with n edges joined at a single vertex. We derive an expression for the trace of the difference of the perturbed and unperturbed resolvent in terms of a Wronskian. This leads to representations for the perturbation determinant and the spect ... [J. Math. Phys. 53, 082110 (2012)] published Fri Aug 31, 2012.

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Strong curvature effects in Neumann wave problems (2012)

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Publikationsdatum: 2012-08-25

Beschreibung: M. Willatzen, A. Pors, and J. Gravesen Waveguide phenomena play a major role in basic sciences and engineering. The Helmholtz equation is the governing equation for the electric field in electromagnetic wave propagation and the acoustic pressure in the study of pressure dynamics. The Schrodinger equation simplifies to the Helmholtz equat ... [J. Math. Phys. 53, 083507 (2012)] published Fri Aug 24, 2012.

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Exploding solutions of the complex two-dimensional Burgers equations: Computer simulations (2012)

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Publikationsdatum: 2012-08-25

Beschreibung: C. Boldrighini, S. Frigio, and P. Maponi We study by computer simulations the complex solutions of the two-dimensional Burgers equations in the whole plane in absence of external forces. For such model the existence of singularities, corresponding to a divergence of the total energy at a finite time, is proved by Li and Sinai [Singularitie ... [J. Math. Phys. 53, 083101 (2012)] published Fri Aug 24, 2012.

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The Fefferman-Stein decomposition for the Constantin-Lax-Majda equation: Regularity criteria for inviscid fluid dynamics revisited (2012)

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Publikationsdatum: 2012-08-31

Beschreibung: Koji Ohkitani The celebrated Beale-Kato-Majda (BKM) criterion for the 3D Euler equations has been updated by Kozono and Taniuchi by replacing the supremum with the bounded mean oscillation norm. We consider this generalized criterion in an attempt to understand it more intuitively by giving an alternative explana ... [J. Math. Phys. 53, 115607 (2012)] published Thu Aug 30, 2012.

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On the joint distribution of the maximum and its position of the Airy process minus a parabola (2012)

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Publikationsdatum: 2012-08-23

Beschreibung: Jinho Baik, Karl Liechty, and Gregory Schehr The maximal point of the Airy process minus a parabola is believed to describe the scaling limit of the end-point of the directed polymer in a random medium. This was proved to be true for a few specific cases. Recently, two different formulas for the joint distribution of the location and the heigh ... [J. Math. Phys. 53, 083303 (2012)] published Wed Aug 22, 2012.

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Geometric phases in quantum control disturbed by classical stochastic processes (2012)

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Publikationsdatum: 2012-08-23

Beschreibung: David Viennot We describe the geometric (Berry) phases arising when some quantum systems are driven by control classical parameters but also by outer classical stochastic processes (as, for example, classical noises). The total geometric phase is then divided into an usual geometric phase associated with the cont ... [J. Math. Phys. 53, 082106 (2012)] published Wed Aug 22, 2012.

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The Klein-Gordon equation with ring-shaped potentials: Asymptotic iteration method (2012)

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Publikationsdatum: 2012-08-23

Beschreibung: Babatunde James Falaye This study presents the solutions of three dimensional Klein-Gordon equation for the spherically and non-spherically harmonic oscillatory ring-shaped potentials within the framework of asymptotic iteration method. Using the method of variable separation, this study obtains the radial and angular equ ... [J. Math. Phys. 53, 082107 (2012)] published Wed Aug 22, 2012.

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Source identity and kernel functions for Inozemtsev-type systems (2012)

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Publikationsdatum: 2012-08-23

Beschreibung: Edwin Langmann and Kouichi Takemura The Inozemtsev Hamiltonian is an elliptic generalization of the differential operator defining the BC trigonometric quantum Calogero-Sutherland model, and its eigenvalue equation is a natural many-variable generalization of the Heun differential equation. We present kernel functions for Inozemtsev H ... [J. Math. Phys. 53, 082105 (2012)] published Wed Aug 22, 2012.

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Two-dimensional magnetic Schrodinger equations, Darboux transformations and solutions of associated auxiliary equations (2012)

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Publikationsdatum: 2012-08-23

Beschreibung: Axel Schulze-Halberg We extend the formalism of Darboux transformations to magnetic Schrodinger equations in two dimensions. The partner potentials associated with the Darboux transformation are obtained in explicit form through an integral formula. We apply our construction to a particular spectral problem of Dirichlet ... [J. Math. Phys. 53, 082108 (2012)] published Wed Aug 22, 2012.

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Solution of the Dirac equation with pseudospin symmetry for a new harmonic oscillatory ring-shaped noncentral potential (2012)

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In: Journal of Mathematical Physics

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Publikationsdatum: 2012-08-16

Beschreibung: Min-Cang Zhang and Zhi-Cun Liu A new harmonic oscillatory ring-shaped noncentral potential is proposed in which the noncentral electric dipole and a novel angle-dependent component are included. The pseudospin symmetry for this potential is investigated by working in a complete square integrable basis that supports a tridiagonal ... [J. Math. Phys. 53, 082104 (2012)] published Wed Aug 15, 2012.

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Noncommutative Pfaffians and classification of states of five-dimensional quasi-spin (2012)

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In: Journal of Mathematical Physics

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Publikationsdatum: 2012-08-16

Beschreibung: Dmitry Artamonov and Valentina Goloubeva Noncommutative Pfaffians associated with an orthogonal algebra [fraktur o] are some special elements of the universal enveloping algebra U([fraktur o]). Using Pfaffians we construct the fourth quantum number which together with the naturally defined three quantum numbers allows to classify the state ... [J. Math. Phys. 53, 083504 (2012)] published Wed Aug 15, 2012.

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Exponential renormalisation. II. Bogoliubov's R-operation and momentum subtraction schemes (2012)

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Publikationsdatum: 2012-08-16

Beschreibung: Kurusch Ebrahimi-Fard and Frederic Patras This article aims at advancing the recently introduced exponential method for renormalisation in perturbative quantum field theory. It is shown that this new procedure provides a meaningful recursive scheme in the context of the algebraic and group theoretical approach to renormalisation. In partic ... [J. Math. Phys. 53, 083505 (2012)] published Wed Aug 15, 2012.

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Well-posedness of the viscous boussinesq system in besov spaces of negative regular index s = 1 (2012)

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In: Journal of Mathematical Physics

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Publikationsdatum: 2012-07-17

Beschreibung: Chao Deng and Shangbin Cui This paper is concerned with well-posedness of the natural convection in a viscous incompressible fluid. We first prove that the n-dimensional Boussinesq system is well-posed for initial data (u-vector,theta) either belonging to (B[intersection]B) x B or to B x B with 1

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An explicit realization of logarithmic modules for the vertex operator algebra [script W] (2012)

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Publikationsdatum: 2012-07-19

Beschreibung: Drazen Adamovic and Antun Milas By extending the methods used in our earlier work, in this paper, we present an explicit realization of logarithmic [script W]-modules that have L(0) nilpotent rank three. This was achieved by combining the techniques developed in [D. Adamovic and A. Milas, Lattice construction of logarithmic module ... [J. Math. Phys. 53, 073511 (2012)] published Wed Jul 18, 2012.

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The dual modified Korteweg-de VriesFokasQiao equation: Geometry and local analysis (2012)

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Publikationsdatum: 2012-07-24

Beschreibung: Piotr Michal Bies, Przemyslaw Gorka, and Enrique G. Reyes We study a bi-hamiltonian equation with cubic nonlinearity shown to appear in the theory of water waves by Fokas, derived by Qiao using the two-dimensional Euler equation, and also known to arise as the dual of the modified Korteweg-de Vries equation thanks to work by Fokas, Fuchssteiner, Olver, and ... [J. Math. Phys. 53, 073710 (2012)] published Mon Jul 23, 2012.

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On a (beta, q)-generalized Fisher information and inequalities involving q-Gaussian distributions (2012)

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Publikationsdatum: 2012-06-15

Beschreibung: J.-F. Bercher In the present paper, we would like to draw attention to a possible generalized Fisher information that fits well in the formalism of nonextensive thermostatistics. This generalized Fisher information is defined for densities on [openface R]. Just as the maximum Renyi or Tsallis entropy subject to a ... [J. Math. Phys. 53, 063303 (2012)] published Thu Jun 14, 2012.

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Periodic solutions of the non-integrable convective fluid equation (2012)

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Publikationsdatum: 2012-06-19

Beschreibung: Ognyan Y. Kamenov In the present paper we have obtained and analyzed a family of exact periodic solutions of the nonlinear evolution partial differential convecting fluid equation (CFE) by applying a modification of the bilinear transformation method. This modification is used in view of the circumstance that CFE is ... [J. Math. Phys. 53, 063705 (2012)] published Mon Jun 18, 2012.

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Small coupling limit and multiple solutions to the Dirichlet problem for Yang-Mills connections in four dimensions. II (2012)

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Publikationsdatum: 2012-06-19

Beschreibung: Takeshi Isobe and Antonella Marini In this paper, we complete the proof of the existence of multiple solutions (and, in particular, non minimal ones), to the epsilon-Dirichlet problem obtained as a variational problem for the SU(2)-Yang-Mills functional. This is equivalent to proving the existence of multiple solutions to the Dirichl ... [J. Math. Phys. 53, 063707 (2012)] published Mon Jun 18, 2012.

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Matrix representation of the time operator (2012)

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Publikationsdatum: 2012-06-21

Beschreibung: Carl M. Bender and Mariagiovanna Gianfreda In quantum mechanics the time operator Theta satisfies the commutation relation [Theta, H] = i, and thus it may be thought of as being formally canonically conjugate to the Hamiltonian H. The time operator associated with a given Hamiltonian H is not unique because one can replace Theta by Theta + T ... [J. Math. Phys. 53, 062102 (2012)] published Wed Jun 20, 2012.

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On a Bargmann transform and coherent states for the n-sphere (2012)

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Publikationsdatum: 2012-06-21

Beschreibung: Erik I. Diaz-Ortiz and Carlos Villegas-Blas We introduce a Bargmann transform for the Hilbert space L(S), n 〉= 2, and study semiclassical properties of the associated coherent states defined on the n-sphere S. In particular, we prove an Egorov-type theorem for the Berezin symbol related to a pseudo-differential operator on L(S). ... [J. Math. Phys. 53, 062103 (2012)] published Wed Jun 20, 2012.

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Notes on the p-spin glass studied via Hamilton-Jacobi and smooth-cavity techniques (2012)

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Publikationsdatum: 2012-06-21

Beschreibung: Elena Agliari, Adriano Barra, Raffaella Burioni, and Aldo Di Biasio In these notes, we continue our investigation of classical toy models of disordered statistical mechanics, through techniques recently developed and tested mainly on the paradigmatic Sherrington-Kirkpatrick spin glass. Here, we consider the p-spin-glass model with Ising spins and interactions drawn ... [J. Math. Phys. 53, 063304 (2012)] published Wed Jun 20, 2012.

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