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On a Generalized Oscillator System: Interbasis Expansions

M. Kibler, L. G. Mardoyan, G. S. Pogosyan

quant-pharXiv:quant-ph/9608027

Abstract

This article deals with a nonrelativistic quantum mechanical study of a dynamical system which generalizes the isotropic harmonic oscillator system in three dimensions. The problem of interbasis expansions of the wavefunctions is completely solved. A connection between the generalized oscillator system (projected on the z-line) and the Morse system (in one dimension) is discussed.

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