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

2008/03/31 by Bijan Bagchi, Toshiaki Tanaka · 2 citations
Mathematics · Physics and Astronomy · #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #hep-th #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1016/j.physleta.2008.06.049

published as Phys. Lett. A 372 (2008) 5390-5393 · 9 pages, no figures; minor corrections, to appear in Physics Letters A

arxiv created 2008/06/24 · openalex publication_date 2008/06/28 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations

• A novel multi-parameter family of quantum systems with partially broken -fold supersymmetry

Cited by

• Analytical Solutions to the Klein–Gordon Equation with Position-Dependent Mass for q -Parameter Pöschl–Teller Potential
• A generalized Swanson Hamiltonian in a second-derivative pseudo-supersymmetric framework

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• Non-Hermitian Hamiltonian beyond PT-symmetry for time-dependant SU(1,1) and SU(2) systems -- exact solution and geometric phase in pseudo-invariant theory