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  • Blackwell Publishing Ltd  (5.327)
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  • 1
    Digitale Medien
    Digitale Medien
    Mathematical aspects of quantum fluids. II. Nonrotating 4He and Clebsch representations of symplectic two-cocycles (1986)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 27 (1986), S. 2437-2444 
    Details
    ISSN: 1089-7658
    Quelle: AIP Digital Archive
    Thema: Mathematik , Physik
    Notizen: For nonrotating and rotating 4He, the formulas for the Poisson brackets and their canonical representations are shown to be particular cases of general Hamiltonian maps associated to symplectic two-cocycles on semidirect product Lie algebras of the type g(semidirect product)(W⊕V*⊕V).
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1063/1.526983
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  • 2
    Digitale Medien
    Digitale Medien
    Superunitary reduction of the orthosymplectic supertableaux (1986)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 27 (1986), S. 1980-1986 
    Details
    ISSN: 1089-7658
    Quelle: AIP Digital Archive
    Thema: Mathematik , Physik
    Notizen: The supertableaux of the orthosymplectic groups OSP(2ν||2p) and OSP(2ν+1||2p) are decomposed in sums of supertableaux of the superunitary group SU(ν||p).
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1063/1.527015
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  • 3
    Digitale Medien
    Digitale Medien
    Closed, analytic, boson realizations for Sp(4) (1986)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 27 (1986), S. 1987-1993 
    Details
    ISSN: 1089-7658
    Quelle: AIP Digital Archive
    Thema: Mathematik , Physik
    Notizen: The problem of determing a boson realization for an arbitrary irrep of the unitary simplectic algebra Sp(2d) [or of the corresponding discrete unitary irreps of the unbounded algebra Sp(2d,R)] has been solved completely in recent papers by Deenen and Quesne [J. Deenen and C. Quesne, J. Math. Phys. 23, 878, 2004 (1982); 25, 1638 (1984); 26, 2705 (1985)] and by Moshinsky and co-workers [O. Castaños, E. Chacón, M. Moshinsky, and C. Quesne, J. Math. Phys. 26, 2107 (1985); M. Moshinsky, "Boson realization of symplectic algebras,'' to be published]. This solution is not known in closed analytic form except for d=1 and for special classes of irreps for d〉1. A different method of obtaining a boson realization that solves the full problem for Sp(4) is described. The method utilizes the chain Sp(2d)&supuline;SU(2)×SU(2) ×⋅⋅⋅×SU(2) (d times), which, for d≥4, does not provide a complete set of quantum numbers. Though a simple solution of the missing label problem can be given, this solution does not help in the construction of a mapping algorithm for general d.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1063/1.527016
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  • 4
    Digitale Medien
    Digitale Medien
    Erratum: Functional integrals for spin-Bose systems [J. Math. Phys. 27, 221 (1986)] (1986)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 27 (1986), S. 1492-1492 
    Details
    ISSN: 1089-7658
    Quelle: AIP Digital Archive
    Thema: Mathematik , Physik
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1063/1.527109
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  • 5
    Digitale Medien
    Digitale Medien
    Is there action-at-a-distance linear confinement? (1986)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 27 (1986), S. 1015-1022 
    Details
    ISSN: 1089-7658
    Quelle: AIP Digital Archive
    Thema: Mathematik , Physik
    Notizen: The possilibity of constructing an action-at-a-distance form of linear confinement is demonstrated. Using the Fokker–Wheeler–Feynman action principle, known from classical action-at-a-distance electrodynamics, with an action containing the relativistically invariant two-particle Heaviside step function, equations of motion and appropriate potentials exhibiting the linearity of their behavior are derived. The plausibility of the generators of motion describing dynamics with the linear potentials is verified on the simple circular-orbit model of a two-component system, and the expected energy spectrum in terms of semiclassical quantization is obtained.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1063/1.527195
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  • 6
    Digitale Medien
    Digitale Medien
    Action-at-a-distance linear potentials and conformal conservation laws (1986)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 27 (1986), S. 1023-1026 
    Details
    ISSN: 1089-7658
    Quelle: AIP Digital Archive
    Thema: Mathematik , Physik
    Notizen: As a consequence of invariance under the full conformal group of transformations, 15 proper conserved quantities are derived for the system of two massive particles interacting via classical action-at-a-distance linear potentials that have been found in the preceding paper [J. Weiss, J. Math. Phys. 27, 1015 (1986)] in terms of the step θ function Lagrangian.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1063/1.527196
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  • 7
    Digitale Medien
    Digitale Medien
    Group-related coherent states (1986)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 27 (1986), S. 2282-2289 
    Details
    ISSN: 1089-7658
    Quelle: AIP Digital Archive
    Thema: Mathematik , Physik
    Notizen: Coherent states defined with respect to an irreducible ray representation u: g→ug, g∈G, of an arbitrary locally compact separable group G are examined. It is shown that the following conditions (a)–(d) are equivalent: (a) u admits coherent states, (b) u is square integrable, (c) the W*-system implemented by u is integrable, and (d) u is a subrepresentation of the left regular c-representation, where c is the respective multiplier of u. Furthermore, the group theoretical background of what is called the "P-representation of observables'' associated with coherent states is investigated: It is shown that the P-representation (which corresponds to a covariant semispectral measure) fulfills a certain maximality requirement. The P-representation can be used to represent the quantum system in question on the Hilbert space L2(G,dg) of square-integrable functions (with respect to Haar measure dg) on the kinematical group G.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1063/1.527000
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  • 8
    Digitale Medien
    Digitale Medien
    Conformal transformations and viscous fluids in general relativity (1986)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 27 (1986), S. 2336-2339 
    Details
    ISSN: 1089-7658
    Quelle: AIP Digital Archive
    Thema: Mathematik , Physik
    Notizen: It is shown that viscous fluid solutions can be obtained by performing conformal transformations of vacuum solutions of Einstein's field equations. The solutions obtained by such a procedure can be matched, under certain conditions, to their respective original vacuum metrics.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1063/1.527004
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  • 9
    Digitale Medien
    Digitale Medien
    An example of affine collineation in the Robertson–Walker metric (1986)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 27 (1986), S. 2360-2361 
    Details
    ISSN: 1089-7658
    Quelle: AIP Digital Archive
    Thema: Mathematik , Physik
    Notizen: An affine collineation for the Robertson–Walker metric is found. It implies a condition on the metric that is compatible with Einstein's equations for a perfect fluid satisfying the Hawking–Ellis energy conditions. It is shown how the geodesics of the metric are obtained from the constant of motion associated to the affine collineation.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1063/1.527007
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  • 10
    Digitale Medien
    Digitale Medien
    Four-dimensional boson field theory. II. Existence (1986)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 27 (1986), S. 2379-2393 
    Details
    ISSN: 1089-7658
    Quelle: AIP Digital Archive
    Thema: Mathematik , Physik
    Notizen: The existence of the continuum, quantum field theory found by Baker and Johnson [G. A. Baker, Jr. and J. D. Johnson, J. Phys. A 18, L261 (1985)] to be nontrivial is proved rigorously. It is proved to satisfy all usual requirements of such a field theory, except rotational invariance. Currently known information is consistent with rotational invariance however. Most of the usual properties of other known Euclidean boson quantum field theories hold here, in a somewhat weakened form. Summability of the sufficiently strongly ultraviolet cutoff bare coupling constant perturbation series is proved as well as a nonzero radius of convergence for high-temperature expansions of the corresponding continuous-spin Ising model. The description of the theory by these two series methods is shown to be equivalent. The field theory is probably not asymptotically free.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1063/1.527009
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