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Factorization, ladder operators and isospectral structures

1996/02/06 by A. Pérez-Lorenzana, Pérez-Lorenzana, A.
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/9602003

12 pages, Latex file, uses ioplppt.sty, no figures

arxiv created 1996/02/06 · arxiv updated 2009/12/01

Abstract

Using the modified factorization method employed by Mielnik for the harmonic oscillator, we show that isospectral structures associated with a second order operator H, can always be constructed whenever H could be factored, or exist ladder operators for its eigenfunctions. Three examples are shown, and properties like completeness and integrability are discused for the general case.

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