Localization of the states of a PT-symmetric double well

2014/10/30 by R. Giachetti, Giachetti, Riccardo, V. Grecchi +1
Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Mechanics and Non-Hermitian Physics

paper · pdf · doi:10.48550/arxiv.1410.8460

openalex publication_date 2014/10/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We make a nodal analysis of the processes of level crossings in a model of quantum mechanics with a PT-symmetric double well. We prove the existence of infinite crossings with their selection rules. At the crossing, before the PT-symmetry breaking and the localization, we have a total P-symmetry breaking of the states.

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