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  • Articles  (40,199)
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  • 2010-2014  (29,068)
  • 1985-1989  (11,131)
  • 1980-1984
  • 2013  (29,068)
  • 1985  (11,131)
  • Mathematics  (40,199)
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  • Books  (39)
  • Articles  (40,199)
  • Other Sources
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  • 2010-2014  (29,068)
  • 1985-1989  (11,131)
  • 1980-1984
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  • 1
    Electronic Resource
    Electronic Resource
    Static relativistic perfect fluids with spherical, plane, or hyperbolic symmetry (1985)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 26 (1985), S. 2268-2274 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: This article examines the Einstein field of equations of general relativity, when the source of the gravitational field is a perfect fluid, and the geometry is static and possesses spherical, plane, or hyperbolic symmetry. This examination unifies, extends, and amends some earlier works. It is shown that a previous qualitative treatment of static spherically symmetric perfect fluids that obey a γ-law equation of state can be extended to include the cases of plane and hyperbolic symmetry. In the case of plane symmetry, the exact solution is provided for general values of γ. This indicates defects in an earlier prescription that was given for a general equation of state.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.526807
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  • 2
    Electronic Resource
    Electronic Resource
    Relativistic, stationary, axisymmetric perfect fluids. II. Solutions with vanishing magnetic Weyl tensor (1985)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 26 (1985), S. 2279-2281 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The formalism of the previous article is used to obtain solutions of Einstein's field equations for the interior of a rigidly rotating perfect fluid, with zero magnetic Weyl tensor. It is found that these solutions cannot represent isolated rotating masses.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.526809
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  • 3
    Electronic Resource
    Electronic Resource
    On the asymptotics of distributions with support in cone (1985)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 26 (1985), S. 2335-2341 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The asymptotic behaviors of tempered distributions with support in a convex, closed cone are classified by means of group theory. The notion of regularly varying distribution is introduced. An Abelian–Tauberian theorem for regularly varying tempered distributions, which generalizes the one-dimensional Abelian–Tauberian theorem of Hardy–Littlewood–Karamata and the many-dimensional extension due to Vladimirov, is proved. Applications to n-point functions are also presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.526817
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  • 4
    Electronic Resource
    Electronic Resource
    The vector form of the neutrino equation and the photon neutrino duality (1985)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 26 (1985), S. 2346-2349 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: A new form of the vector wave equation for a neutrino is derived that makes the relation to the massive case more transparent than that given by Reifler. Some new aspects of the photon neutrino duality are discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.526819
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  • 5
    Electronic Resource
    Electronic Resource
    Convergent expansions for excited glueball masses in 2+1 strongly coupled lattice gauge theories (1985)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 26 (1985), S. 2342-2345 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: It is known that the mass spectrum of a strongly coupled (β=2/g2 small) 2+1 Wilson action lattice gauge theory contains a mass m0∼−4 ln β and two excited masses m1, m2∼−6 ln β and that m0+4 ln β has a convergent expansion in powers of β. We show that m1, m2 admit convergent expansions of the form −6 ln β+r(β), where r(β) is analytic at β=0. Furthermore, a finite lattice algorithm is given for determining cn, the nth β=0 Taylor coefficient of r(β). Here, cn only depends on a finite number of β=0 Taylor series coefficients of the plaquette–plaquette, plaquette–double plaquette, and double plaquette–double plaquette truncated correlation functions at a finite number of points. For the gauge group Z2, by duality, m1, m2 map to bound states of the low-temperature Ising model; a possible relation between an increasing number of bound states and roughening is discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.526818
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  • 6
    Electronic Resource
    Electronic Resource
    Statistical theory of scattering and propagation through a rough boundary–The Bethe–Salpeter equation and applications (1985)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 26 (1985), S. 2352-2369 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: A systematic theory is given for a general class of scalar waves by introducing a surface Green's function, which is a 2×2 matrix function governed by boundary equations, transferred onto two reference boundary planes enclosing the real boundary inside. It is subjected to several symmetries, including a relation eventually leading to optical relations. Governing equations of statistical surface Green's functions of first and second orders are obtained unperturbatively in exactly the same way as for a random medium, on replacing the medium to a surface impedance. Two operator methods are introduced to obtain the surface impedance and integral equations of reflection–transmission coefficients exactly for a given boundary change. The space Green's functions outside the boundary are obtained by a simple continuation of the surface Green's functions, and scattering cross sections are obtained from their asymptotic expressions at large distances. Various quantities and equations associated with the incoherent waves are written exactly by the introduction of a scattering matrix, as contrasted with the conventional one for a coherent scatterer. A slightly rough boundary is investigated, with the cross sections for both reflected and transmitted waves, where obtained equations are significant also for higher-order effects, including multiple scattering. An application to boundary-value problems in layer transport is suggested.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.526821
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  • 7
    Electronic Resource
    Electronic Resource
    Hamiltonian approach to the existence of magnetic surfaces (1985)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 26 (1985), S. 2370-2380 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: A method is devised to investigate the existence of magnetic surfaces and magnetohydrodynamic (MHD) plasma equilibria in 3-D toroidal geometry. The key feature of this method is the utilization of a Hamiltonian formulation of the lines of force. Expanding the contravariant components of the magnetic field and scalar pressure in distance ρ from the magnetic axis, the 1-D Hamiltonian for the lines of force is written out explicitly. The Hamiltonian is then transformed to action-angle variables. It is shown that the action J corresponds to pressure in the equilibrium problem. Specifically, it is shown that if J is an invariant, then constant pressure and hence magnetic surfaces exist. A procedure of repeated canonical transformations is formulated and carried out to displace the coordinate dependence in the Hamiltonian to successively higher order in the expansion parameter, and thus make J an increasingly better adiabatic invariant. Arising in each successive canonical transformation is a series of potentially resonant denominators, i.e., denominators that may vanish. These potential resonances are identified, their significance explicated, and methods of handling them suggested.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.526822
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  • 8
    Electronic Resource
    Electronic Resource
    The continuity of dislocations (1985)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 26 (1985), S. 2383-2385 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Dislocation continuity is derived from the Bilby–Kondo theory of dislocations using exterior calculus. Dislocation density is represented by the torsion vector-valued two-form. Burgers vectors are associated with the vector part of the torsion while dislocation lines are associated with the two-form part. The exterior derivative of the torsion is shown to vanish when the crystal curvature vanishes. This implies two simultaneous continuity conditions: Burgers vector conservation and continuity of dislocation lines. On the other hand, dislocation continuity is violated when the curvature does not vanish. Since this can occur on grain boundaries it is inferred that grain boundaries are regions where crystal curvature is concentrated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.526824
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  • 9
    Electronic Resource
    Electronic Resource
    The adsorption of simple particles on a 2×N lattice space (1985)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 26 (1985), S. 2392-2395 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Utilizing a 15-term recursion relation that describes exactly the composite nearest neighbor degeneracy for simple indistinguishable particles on a 2×N lattice, the adsorption isotherm is calculated and it is shown analytically that coverage as a function of the gas phase pressure exhibits no discontinuity, i.e., that no phase transition can occur.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.526826
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  • 10
    Electronic Resource
    Electronic Resource
    Canonical map approach to channeling stability in crystals (1985)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 26 (1985), S. 1925-1935 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: We state and prove rigorous mathematical results on the orbital stability of certain rectilinear trajectories of sufficiently energetic particles subjected to appropriate periodic potentials. This is done in the context of nontrivial classical Hamiltonian models, nonrelativistic and relativistic, in two space dimensions. The main steps involved in the proofs are the derivation of the asymptotic form of certain canonical maps in the plane in the limit of large particle energies and the application of a version of Moser's twist theorem. When suitably specialized, these results establish rigorously for the first time that the pertinent straight-line channeling trajectories of fast particles in two-dimensional rigid crystal lattices have this stability property under reasonable conditions on the crystal potential.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.526859
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