On a Generalized D-Dimensional Oscillator: Interbasis Expansions
Quantum Physics
2014-11-18 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.quant-ph/9804072,
title = {On a Generalized D-Dimensional Oscillator: Interbasis Expansions},
author = {Ye. M. Hakobyan and G. S. Pogosyan and A. N. Sissakian},
journal= {arXiv preprint arXiv:quant-ph/9804072},
year = {2014}
}
Comments
12 pages, LaTex