On a Generalized Oscillator System: Interbasis Expansions

1996/08/16 by M. Kibler, Kibler, M., L. G. Mardoyan +3
Physics and Astronomy · #Atomic Physics (physics.atom-ph) #Chemical Physics (physics.chem-ph) #FOS: Physical sciences #Quantum Physics (quant-ph) #atom-ph #chem-ph #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/9608027

23 pages, Latex File, to be published in International Journal of Quantum Chemistry

arxiv created 1996/08/16 · arxiv updated 2009/12/01

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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