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

2019/09/08 by Fereshte Soliemani, Soliemani, Fereshte, Zahra Bakhshi +1
Physics and Astronomy · #FOS: Physical sciences #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.1909.04030

arxiv created 2019/09/08 · openalex publication_date 2019/09/08 · arxiv updated 2019/09/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 η-pseudo-hermetic(η-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 Pöschl-teller complex and Eckart potentials will be discussed as examples.

Related

• The η-pseudo-hermitic generator in the deformed Woods Saxons potential
• Weak-Pseudo-Hermiticity of Non-Hermitian Hamiltonians with Position-Dependent Mass
• Exact solutions of Schrodinger equation for PT-/non-PT-symmetric and non-Hermitian Exponential Type Potentials with the position-dependent effective mass
• Effective Hamiltonian for piecewise flat potentials and masses
• Non-Hermitian PT-symmetric and Hermitian Hamiltonians' correspondence: Isospectrality and mass signature