Weak-Pseudo-Hermiticity of Non-Hermitian Hamiltonians with Position-Dependent Mass

2007/11/14 by Sid-Ahmed Yahiaoui, S. -A. Yahiaoui, Yahiaoui, S. -A. +3
Mathematics · Physics and Astronomy · #03.65.Ca #03.65.Fd #03.65.Ge #Class (philosophy) #FOS: Physical sciences #Function (biology) #Hermitian matrix #Mathematical Physics (math-ph) #Mathematical physics #Mathematics #Physics #Position (finance) #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum mechanics #math-ph #math.MP #msc:03.65.Ca #msc:03.65.Fd #msc:03.65.Ge

paper · pdf · doi:10.48550/arxiv.0711.2262

published in arXiv (Cornell University) (Cornell University) · 17 pages

arxiv created 2007/11/14 · openalex publication_date 2007/11/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We extend the definition of eta-weak-pseudo-Hermiticity to the class of potentials endowed with position-dependent mass. The construction of non-Hermitian Hamiltonians through some generating function are obtained. Special cases of potentials are thus deduced.

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