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

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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.
9 pages, no figures; minor corrections, to appear in Physics Letters A

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