GENERALIZED D-DIMENSIONAL OSCILLATOR - INTERBASIS EXPANSIONS

Authors
HAKOBYAN YM POGOSYAN GS SISSAKIAN AN
Citation
Ym. Hakobyan et al., GENERALIZED D-DIMENSIONAL OSCILLATOR - INTERBASIS EXPANSIONS, Physics of atomic nuclei, 61(10), 1998, pp. 1762-1767
Citations number
19
Categorie Soggetti
Physics, Nuclear","Physics, Particles & Fields
Journal title
Physics of atomic nuclei → ACNP
ISSN journal
10637788
Volume
61
Issue
10
Year of publication
1998
Pages
1762 - 1767
Database
ISI
SICI code
1063-7788(1998)61:10<1762:GDO-IE>2.0.ZU;2-#
Abstract
This article deals with a nonrelativistic study of a D-dimensional sup erintegrable system, which generalizes the ordinary isotropic oscillat or system. The coefficients for the expansion between the hyperspheric al and Cartesian bases (transition matrix), and vice versa, are found in terms of the SU(2) Clebsch-Gordan coefficients analytically continu ed to real values of their arguments. The diagram method, which allows one to construct a transition matrix for an arbitrary dimension, is d eveloped.