On Interbasis Expansion for Isotropic Oscillator on Two-Dimensional Sphere

摘要

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