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Paper detail

On a Generalized D-Dimensional Oscillator: Interbasis Expansions

This article deals with nonrelativistic study of a D-dimensional superintegrable system, which generalizes the ordinary isotropic oscillator system. The coefficients for the expansion between the hyperspherical and Cartesian bases (transition matrix), and vice-versa, are found in terms of the SU(2) Clebsch--Gordan coefficients analytically continued to real values of their arguments. The diagram method, which allow one to construct a transition matrix for arbitrary dimension, is developed.

preprint1999arXivOpen access
Ye. M. HakobyanG. S. PogosyanA. N. Sissakian
math-phmath.MPhep-thquant-ph
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Ye. M. HakobyanG. S. PogosyanA. N. Sissakian

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