Factorization, ladder operators and isospectral structures

Details Factorization, ladder operators and isospectral structures Factorization, ladder operators and isospectral structures

1996-02-06

arxiv.org/abs/quant-ph/9602003v1

Physics

Quantum Physics

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

Scientific paper

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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