Eur. Phys. J. Plus (2020) 135: 897
https://doi.org/10.1140/epjp/s13360-020-00928-1

Regular Article

Time-evolved Schrödinger wave packets of a quantum mechanical system trapped in a deformed Coulombian potential

¹ Unité de Recherche de Matière Condensée, d’Électronique et de Traitement du Signal - Département de Physique - Faculté des Sciences, Université de Dschang, B.P: 67, Dschang, Cameroon
² Computational Material Science Laboratory - Higher Technical Teachers’ Training College Bambili, University of Bamenda, PO Box 39, Bamenda, Cameroon
³ Centre d’Études et de Recherches en Agronomie et en Biodiversité - FASA, Université de Dschang, Dschang, Cameroon

^d mtchoffo2000@yahoo.fr

Received: 15 September 2020
Accepted: 6 November 2020
Published online: 10 November 2020

Abstract

We study the properties of a quantum system confined in a shifted Coulomb potential using a direct analytical approach and the supersymmetric quantum mechanics analysis and then show concurrence of results of the two approaches. This analysis reveals an energy spectrum quite dependent of the shift distance and scaled down by the space deformation parameter. The spectral values are shown to generate a peculiar revival pattern on a localized wave packet that is discussed.