Annihilation and creation operators in non-Hermitian supersymmetric quantum mechanics

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Harmonic oscillators with a centrifugal spike are analysed, via a non-Hermitian regularization, within a complexified SUSY quantum mechanics. The formalism enables us to construct the factorized creation and annihilation operators. We show how the real though, generically, non-equidistant spectrum complies with the current SUSY-type isospectrality and degeneracy in an unusual way.
19 pages and 7 tables for Tuesday seminar in Bratislava. Version 2: 15 pages, submitted

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High Energy Physics - Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/50433

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/0012002
 http://arxiv.org/abs/hep-th/0012002

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arXiv