English

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

Quantum Physics 2008-07-24 v2 High Energy Physics - Theory Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.0803.0207,
  title  = {A generalized non-Hermitian oscillator Hamiltonian, N-fold supersymmetry and position-dependent mass models},
  author = {Bijan Bagchi and Toshiaki Tanaka},
  journal= {arXiv preprint arXiv:0803.0207},
  year   = {2008}
}

Comments

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