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arXiv · 2509.23420

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

Maamache Mustapha
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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.

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Maamache Mustapha. 2025-09-27. INTRODUCTION AUX SYSTEMES QUANTIQUES NON-HERMITIQUES: PT-sym\'etrie et pseudo Hermiticit\'e. https://arxiv.org/abs/2509.23420

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