On Interbasis Expansion for Isotropic Oscillator on Two-Dimensional Sphere

Details On Interbasis Expansion for Isotropic Oscillator on Two-Dimensional Sphere On Interbasis Expansion for Isotropic Oscillator on Two-Dimensional Sphere

1998-03-30

arxiv.org/abs/quant-ph/9803085v3

Proc., II International Workshop "Lie Theory and Its Applications in Physics", (Clausthal, August 1997); eds. H.-D. Doebner, V

Physics

Quantum Physics

9 pages, LaTex

Scientific paper

In this article we analyze the isotropic oscillator system on the two-dimensional sphere in the spherical systems of coordinates. The expansion coefficients for transitions between three spherical bases of the oscillator are calculated. It is shown that these coefficients are expressed through the Clebsch-Gordan coefficients for SU(2) group analytically continued to real values of their argument.

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