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arXiv · 0803.0207

A generalized non-Hermitian oscillator Hamiltonian, N-fold supersymmetry and position-dependent mass models

Bijan Bagchi·Toshiaki Tanaka
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Abstract

A generalized non-Hermitian oscillator Hamiltonian is proposed that consists of additional linear terms which break PT-symmetry explicitly. The model is put into an equivalent Hermitian form by means of a similarity transformation and the criterion of N-fold supersymmetry with a position-dependent mass is shown to reside in it.

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Bijan Bagchi, Toshiaki Tanaka. 2008-06-24. A generalized non-Hermitian oscillator Hamiltonian, N-fold supersymmetry and position-dependent mass models. https://doi.org/10.1016/j.physleta.2008.06.049

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