Interbasis expansion for isotropic oscillator on two-dimensional sphere

摘要

The isotropic oscillator system on the two-dimensional sphere in the spherical systems of coordinates is analyzed. 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 11 refs. Submitted to the 2nd International Workshop 'Lie Theory and its Applications in Physics', 17-20 August 1997, Clausthal, Germany.