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Annihilation and creation operators in non-Hermitian supersymmetric quantum mechanics

Miloslav Znojil
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Abstract

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.

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Miloslav Znojil. 2001-04-15. Annihilation and creation operators in non-Hermitian supersymmetric quantum mechanics. https://arxiv.org/abs/hep-th/0012002

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