Spheroidal Analysis of the Generalized MIC-Kepler System

Journal Article · Sat Oct 01 04:00:00 UTC 2005 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/1.2121925· OSTI ID:20692896

Mardoyan, L G ^[1]

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1. International Center for Advanced Studies, Yerevan State University, Yerevan (Armenia)

This paper deals with the dynamical system that generalizes the MIC-Kepler system. It is shown that the Schroedinger equation for this generalized MIC-Kepler system can be separated in prolate spheroidal coordinates. The coefficients of the interbasis expansions between three bases (spherical, parabolic, and spheroidal) are studied in detail. It is found that the coefficients for this expansion of the parabolic basis in terms of the spherical basis, and vice versa, can be expressed through the Clebsch-Gordan coefficients for the group SU(2) analytically continued to real values of their arguments. The coefficients for the expansions of the prolate spheroidal basis in terms of the spherical and parabolic bases are proved to satisfy three-term recursion relations.

• OSTI ID: 20692896
• Journal Information: Physics of Atomic Nuclei, Journal Name: Physics of Atomic Nuclei Journal Issue: 10 Vol. 68; ISSN 1063-7788; ISSN PANUEO
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CLEBSCH-GORDAN COEFFICIENTS
COORDINATES
EXPANSION
QUANTUM FIELD THEORY
RECURSION RELATIONS
SCHROEDINGER EQUATION
SPHERICAL CONFIGURATION
SU-2 GROUPS