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Journal Articles Yadernaya Fizika Year : 1998

On a generalized oscillator invariance algebra and interbasis expansions

Ye.M. Hakobyan
  • Function : Author
G.S. Pogosyan
  • Function : Author
A.N. Sissakian
  • Function : Author

Abstract

This article deals with a quantum-mechanical system which generalizes the ordinary isotropic harmonic oscillator system. We give the coefficients connecting the polar and Cartesian bases for D=2 and the coefficients connecting the Cartesian and cylindrical bases as well as the cylindrical and spherical bases for D=3. These interbasis expansion coefficients are found to be analytic continuations to real values of their arguments of the Clebsch-Gordan coefficients for the group SU(2). For D=2, the superintegrable character for the generalized oscillator system is investigated from the points of view of a quadratic invariance algebra.

Dates and versions

in2p3-00005174 , version 1 (23-11-2006)

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Ye.M. Hakobyan, M. Kibler, G.S. Pogosyan, A.N. Sissakian. On a generalized oscillator invariance algebra and interbasis expansions. Yadernaya Fizika, 1998, 61, pp.1893-1899. ⟨in2p3-00005174⟩
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