Square-well potential by an algebraic approach

S. Kais, R. D. Levine

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Abstract

The spectrum-generating algebra for the problem of a particle in a potential well is shown to be su(1,1). Both the infinitely deep and finite square wells are considered. The generators can also be derived via a systematic procedure for determining the time-dependent constants of the motion. The coherent states are explicitly constructed.

Original languageEnglish
Pages (from-to)4615-4620
Number of pages6
JournalPhysical Review A
Volume34
Issue number6
DOIs
Publication statusPublished - 1 Jan 1986

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ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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