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Titre: Observables of complex PT-symmetric “Shifted” potentials
Auteur(s): Lombard, R.J.
Mezhoud, R.
Yekken, R.
Mots-clés: Algebraic methods
Quantum mechanics
Solutions of wave equations: Bound states
Date de publication: 2020
Editeur: Editura Academiei Romane
Collection/Numéro: Romanian Journal of PhysicsVolume 65, Issue 3-4, 2020, Article number 105;
Résumé: We study complex PT-symmetric potentials, with real eigenvalues, co responding to a complex coordinate shift (equation found) of a real even potential. In this case, the rules to achieve a coherent quantum mechanics are known. They allow the calculation of observables, which are found to be independent on c. This result is illustrated by few analytical or semi analytical examples. On the other hand, trying to test this property numerically faces problems linked to the difficulty of finding the proper solutions of the Schrödinger equation. In particular, the large distance behaviour of the wave functions generates instabilities. As an example, we have studied the (equation found) potential.
URI/URL: http://dlibrary.univ-boumerdes.dz:8080/handle/123456789/6149
ISSN: 1221146X
Collection(s) :Publications Internationales

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