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INTRODUCTION AUX SYSTEMES QUANTIQUES NON-HERMITIQUES: PT-sym\'etrie et pseudo Hermiticit\'e

Quantum Physics 2025-09-30 v1

Abstract

In recent decades, an important shift has taken place with the growing role of non-Hermitian quantum mechanics. What makes this framework remarkable is that the eigenvalues of the Hamiltonians involved can still be real, just as in the Hermitian case. Before turning to non-Hermitian quantum mechanics, we will first review some basic ideas and mathematical tools from the standard Hermitian formulation. This review is intended as a survey: most results will be stated without proof and without going into detailed discussion.

Keywords

Cite

@article{arxiv.2509.23420,
  title  = {INTRODUCTION AUX SYSTEMES QUANTIQUES NON-HERMITIQUES: PT-sym\'etrie et pseudo Hermiticit\'e},
  author = {Maamache Mustapha},
  journal= {arXiv preprint arXiv:2509.23420},
  year   = {2025}
}

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in French language