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Wave packet dynamics of nonlinear Gazeau-Klauder coherent states of a position-dependent mass system in a Coulomb-like potential |
| Faustin Blaise Migueu1, Mercel Vubangsi1,2, Martin Tchoffo1,3,†, and Lukong Cornelius Fai1 |
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, Université de Dschang, Dschang, Cameroon |
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Abstract A D=1 position-dependent mass approach to constructing nonlinear quantum states for a modified Coulomb potential is used to generate Gazeau-Klauder coherent states. It appears that their energy eigenvalues are scaled down by the quantum number and the nonlinearity coefficient. We study the basic properties of these states, which are found to be undefined on the whole complex plane, and some details of their revival structure are discussed.
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Received: 13 October 2020
Revised: 02 December 2020
Accepted manuscript online: 04 January 2021
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PACS:
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03.65.Ge
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(Solutions of wave equations: bound states)
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21.10.Sf
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(Coulomb energies, analogue states)
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42.50.Md
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(Optical transient phenomena: quantum beats, photon echo, free-induction decay, dephasings and revivals, optical nutation, and self-induced transparency)
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Corresponding Authors:
Martin Tchoffo
E-mail: mtchoffo2000@yahoo.fr
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Cite this article:
Faustin Blaise Migueu, Mercel Vubangsi, Martin Tchoffo, and Lukong Cornelius Fai Wave packet dynamics of nonlinear Gazeau-Klauder coherent states of a position-dependent mass system in a Coulomb-like potential 2021 Chin. Phys. B 30 060309
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