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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/165523A 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 AQuantum PhysicsHigh Energy Physics - TheoryMathematical PhysicsA generalized non-Hermitian oscillator Hamiltonian, N-fold supersymmetry and position-dependent mass modelstext