English

Position dependent effective mass and pseudo-hermetic generator in Hamiltonians with PT symmetry

Quantum Physics 2019-09-11 v1

Abstract

In this paper we present a general method to solve non hermetic potentials with PT symmetry using the introduction of two first-order operator against {\eta}-pseudo-hermetic({\eta}-weak-pseudo-hermiticity) with position dependent effective mass and applying it to Dirac equation with spinor wave function and non-hermitic potentials with real energy spectrum considering position dependent effective mass. Also P\"oschl-teller complex and Eckart potentials will be discussed as examples.

Keywords

Cite

@article{arxiv.1909.04030,
  title  = {Position dependent effective mass and pseudo-hermetic generator in Hamiltonians with PT symmetry},
  author = {Fereshte Soliemani and Zahra Bakhshi},
  journal= {arXiv preprint arXiv:1909.04030},
  year   = {2019}
}