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  • 1
    Digitale Medien
    Digitale Medien
    Symmetry scattering (1991)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 32 (1991), S. 3254-3260 
    Details
    ISSN: 1089-7658
    Quelle: AIP Digital Archive
    Thema: Mathematik , Physik
    Notizen: Scattering connected with the symmetry of a system is treated. Symmetries related to Riemannian symmetric spaces of the noncompact type are studied. Several examples are discussed.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1063/1.529486
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 2
    Digitale Medien
    Digitale Medien
    Local behavior in supersymmetric quantum mechanics (1992)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 33 (1992), S. 174-177 
    Details
    ISSN: 1089-7658
    Quelle: AIP Digital Archive
    Thema: Mathematik , Physik
    Notizen: In supersymmetric quantum mechanics, the differential equations corresponding to exactly solvable potentials may be treated by algebraic methods. By use of a system of geodesic polar coordinates on a Riemannian manifold, and subsequent transformation to a Schrödinger equation with a potential in two ways, it is demonstrated that the local behavior of the exactly solvable potentials considered in supersymmetric quantum mechanics corresponds to isotropic harmonic oscillator and Pöschl–Teller potential problems.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1063/1.529941
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 3
    Digitale Medien
    Digitale Medien
    Symmetry scattering on the hyperboloid SO(2,1)/SO(2) in different coordinate systems (1992)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 33 (1992), S. 2384-2389 
    Details
    ISSN: 1089-7658
    Quelle: AIP Digital Archive
    Thema: Mathematik , Physik
    Notizen: The symmetry scattering theory based on the Harish-Chandra–Helgason theory of spherical functions on noncompact Riemannian symmetric spaces is extended to treat all spherical harmonics on the hyperboloid SO(2,1)/SO(2). The required conditions for an extension of the symmetry scattering theory to treat all spherical harmonics on arbitrary noncompact Riemannian symmetric spaces are elaborated.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1063/1.529979
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 4
    Digitale Medien
    Digitale Medien
    Symmetry scattering for SU(2,2) with applications (1994)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 35 (1994), S. 2838-2855 
    Details
    ISSN: 1089-7658
    Quelle: AIP Digital Archive
    Thema: Mathematik , Physik
    Notizen: In the framework of symmetry scattering, SU(2,2)-invariant differential equations on the homogeneous space X=SU(2,2)/S(U(2)⊗U(2)) are studied. The radial Schrödinger equation for a family of one or two dimensional potentials or for two particles arise. From the asymptotic behavior of the solutions exact partial wave scattering amplitudes are derived.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1063/1.530491
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  • 5
    Digitale Medien
    Digitale Medien
    Quantum mechanics inversion for symmetry scattering (1993)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 34 (1993), S. 2914-2925 
    Details
    ISSN: 1089-7658
    Quelle: AIP Digital Archive
    Thema: Mathematik , Physik
    Notizen: Symmetry scattering is related to the scattering by an effective local potential in the Schrödinger frame using the quantum mechanics inversion techniques of Marchenko, Gel'fand, and Levitan. Exact solutions or exponentially convergent approximations are found.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1063/1.530104
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