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. © 2008 Elsevier B.V. All rights reserved.

Bijan Kumar Bagchi

Physics

(SoNS) School of Natural Sciences

T. Tanaka

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