Symmetry scattering on the hyperboloid SO(2,1)/SO(2) in different coordinate systems

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 tre...

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Veröffentlicht in:	Journal of mathematical physics 1992-07, Vol.33 (7), p.2384-2389
Hauptverfasser:	Wehrhahn, R. F., Smirnov, Yu. F., Shirokov, A. M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Atomic and molecular physics Classical and quantum physics: mechanics and fields Electronic structure of atoms, molecules and their ions: theory Exact sciences and technology General theory of scattering Other topics in the theory of the electronic structure of atoms, molecules and their ions Physics
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Beschreibung
Zusammenfassung:	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.
ISSN:	0022-2488 1089-7658
DOI:	10.1063/1.529979