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

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.

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

References in corpus (3)

• N-fold Supersymmetry in Quantum Systems with Position-dependent Mass
• A Novel Multi-parameter Family of Quantum Systems with Partially Broken N-fold Supersymmetry
• Quasi-Hermitian supersymmetric extensions of a non-Hermitian oscillator Hamiltonian and of its generalizations