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  • American Institute of Physics (AIP)  (5,994)
  • National Academy of Sciences  (1,968)
  • American Physical Society (APS)
  • International Union of Crystallography (IUCr)
  • 1985-1989  (9,365)
  • 1987  (9,365)
Collection
Publisher
Years
  • 1985-1989  (9,365)
Year
  • 1
    Electronic Resource
    Electronic Resource
    The polynomial-type analysis of SU(3) group-theoretical quantities (1987)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 28 (1987), S. 1995-2006 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Formulas for the transformation matrix between the canonical and noncanonical SU(3) bases in both λ≥μ and λ〈μ cases are derived. An expression for the isoscalar factor of the SU(3) coupling coefficient, in the noncanonical basis, with one symmetric representation is also derived. Both expressions are put in a polynomial-type form suitable for coding computer programs to obtain explicit and exact algebraic expressions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.527461
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  • 2
    Electronic Resource
    Electronic Resource
    Non-Abelian Berry's phase, accidental degeneracy, and angular momentum (1987)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 28 (1987), S. 2102-2114 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The non-Abelian Berry's phase effect for a family of operators H0+k⋅V is considered, where H0 is rotationally invariant, V is a vector operator, and k varies over the unit vectors in R3. The parameter space is the two-sphere. The time evolution in the adiabatic limit is given by a connnection on a fiber bundle over the two-sphere. All connections consistent with the rotational symmetry are classified, and the time evolution is explicitly calculated for a nondegenerate Hamiltonian, as well as for a Hamiltonian with a double degeneracy. In the nondegenerate case, the connection is uniquely determined by the symmetry. In the doubly degenerate case, the connection is in some instances not determined by the symmetry. The case of approximate degeneracy is also discussed. A possible experimental test of this effect using optical pumping is described elsewhere.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.527422
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  • 3
    Electronic Resource
    Electronic Resource
    Physical relations and the Weyl group (1987)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 28 (1987), S. 2115-2127 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Let a given particle symmetry be described by a reductive Lie group G. It is proved that the corresponding Weyl group W(R) acts canonically in all zero-weight spaces of G and hence, in particular, on observables. Moreover, it is shown how this W(R) action provides many physical relations, including those believed to be implied by G-transformation properties of observables. The results simplify a testing of symmetries based on various Lie groups (algebras). Their use extends beyond particle physics, e.g., to nuclear physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.527423
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  • 4
    Electronic Resource
    Electronic Resource
    Weyl group and tensor operators for hadron-type SU(n) representations (1987)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 28 (1987), S. 2128-2141 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Let a particle symmetry be described by a simple Lie algrebra @Fg of the type An−1, i.e., @Fg=sl(n,C) or @Fg is a real form of sl(n,C). For @Fg representations describing three-particle or particle–antiparticle states, relationships between two actions, the action of @Fg and the action of the corresponding Weyl group Sn, on observables are analyzed. It is shown, in particular, how impossible physical relations depend on these two actions. The results enable one to verify quickly if given experimental data can be fitted by means of a @Fg-symmetry theory.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.527424
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  • 5
    Electronic Resource
    Electronic Resource
    Möller operators in classical relativistic two-particle scattering (1987)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 28 (1987), S. 2142-2148 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The scattering problem is formulated in a geometric language adapted to the description of classical relativistic two-body systems. Within the framework of manifestly covariant relativistic particle mechanics, precise, easily verifiable conditions with a clear physical interpretation are given on the interparticle interaction for the Möller operators to exist. The Möller operators are used to define the notion of an asymptotically free presymplectic structure on the evolution space and, using the results obtained, the existence and uniqueness of such a structure is discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.527425
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  • 6
    Electronic Resource
    Electronic Resource
    Colliding gravitational plane waves with noncollinear polarization. I (1987)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 28 (1987), S. 2155-2161 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: An Ehlers transformation on the Ernst potential for the Nutku–Halil solution [Phys. Rev. Lett. 39, 1379 (1977)] provides a new solution of the Einstein field equations describing colliding gravitational plane waves with noncollinear polarization, the first of an infinite sequence of solutions that can be generated using techniques described in this paper.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.527427
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  • 7
    Electronic Resource
    Electronic Resource
    Solutions of Einstein's equations for the interior of a stationary axisymmetric perfect fluid (1987)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 28 (1987), S. 2162-2166 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The problem of finding a class of solutions of Einstein's field equations for the interior of a uniformly rotating, axisymmetric perfect fluid is reduced to the integration of a known function. A number of solutions of the class is given explicitly. The equipressure surfaces of all solutions of the class are planes. The class contains solutions with the equation of state p=γμ, γ〉0, 0〉γ≥−1+2/(5)1/2, and γ≤−1−2/(5)1/2, which are given explicitly.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.527428
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  • 8
    Electronic Resource
    Electronic Resource
    Mass, dual mass, and gravitational entropy (1987)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 28 (1987), S. 2149-2154 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: A mechanism (mathematical transformation) is considered by which a (Schwarzschild) black-hole singularity can be converted into a (Taub–NUT) (Newman–Unti–Tamburino) wire singularity, or equivalently topological modifications can be induced (e.g., transformation of S2×R2 topology into S3×R and conversely). A topological charge—an invariant of the transformation—emerges as a possible candidate for the description of gravitational entropy in the case of source-free solutions to Einstein's equation with one Killing vector field. For a Schwarzschild black hole this invariant reduces to the area of the event horizon (or equivalently the Bolt charge) and it reduces to the square of the NUT charge (or equivalently the length of the closed timelike orbits) in the case of a Taub–NUT magnetic monopole. These considerations lead to the proposition that, under extreme conditions, gravitational clumping or entropy increase could be described by a modification in the characteristic classes of the space-time manifold due to the onset of nontrivial topological features. Further remarks are presented in view of the role of gravitational magnetic monopoles in quantum gravity, and of a possible relation between the notions of gravitational entropy and arrow of time.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.527426
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  • 9
    Electronic Resource
    Electronic Resource
    Charge quantization without superheavy masses in a Kaluza–Klein description of electromagnetism (1987)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 28 (1987), S. 2167-2170 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: A scalar matter field coupled to general relativity and electromagnetism in a five-dimensional Kaluza–Klein model is considered. The five-dimensional space is assumed to be a fiber bundle as in the usual description of a gauge theory and not a more general manifold. Properly taking this into account allows one to use a Lagrangian density for the scalar field which includes charge quantization but not the unphysical superheavy masses found by other authors. A natural, satisfactory explanation of why charge is quantized results.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.527429
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  • 10
    Electronic Resource
    Electronic Resource
    Duality rotations and type D solutions to Einstein equations with nonlinear electromagnetic sources (1987)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 28 (1987), S. 2171-2181 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Within nonlinear electrodynamics of Born–Infeld type allowing for the freedom of duality rotations, explicit type D solutions are constructed. The obtained type D solutions, which generalize the charged Taub–NUT (Newman–Unti–Tamburino) metric with λ, exhaust all solutions within the considered class, under the assumption that the real eigenvectors of the electromagnetic field are aligned along the geodesic and shear-free principal null directions. Various relevant limiting transitions, in particular those of the flat space-time, are studied in some detail.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.527430
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