Wave packet dynamics of nonlinear Gazeau-Klauder coherent states of a position-dependent mass system in a Coulomb-like potential

doi:10.1088/1674-1056/abd7e2

中国物理B ›› 2021, Vol. 30 ›› Issue (6): 60309-060309.doi: 10.1088/1674-1056/abd7e2

Wave packet dynamics of nonlinear Gazeau-Klauder coherent states of a position-dependent mass system in a Coulomb-like potential

Faustin Blaise Migueu¹, Mercel Vubangsi^1,2, Martin Tchoffo^1,3,†, 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

收稿日期:2020-10-13 修回日期:2020-12-02 接受日期:2021-01-04 出版日期:2021-05-18 发布日期:2021-05-27
通讯作者: Martin Tchoffo E-mail:mtchoffo2000@yahoo.fr

Wave packet dynamics of nonlinear Gazeau-Klauder coherent states of a position-dependent mass system in a Coulomb-like potential

Faustin Blaise Migueu¹, Mercel Vubangsi^1,2, Martin Tchoffo^1,3,†, 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

Received:2020-10-13 Revised:2020-12-02 Accepted:2021-01-04 Online:2021-05-18 Published:2021-05-27
Contact: Martin Tchoffo E-mail:mtchoffo2000@yahoo.fr

摘要/Abstract

摘要： 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.

关键词: deformed Coulomb potential, energy spectrum, coherent states, photon number distribution, quantum revivals

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.

Key words: deformed Coulomb potential, energy spectrum, coherent states, photon number distribution, quantum revivals

中图分类号: (Solutions of wave equations: bound states)

03.65.Ge

21.10.Sf (Coulomb energies, analogue states) 42.50.Md (Optical transient phenomena: quantum beats, photon echo, free-induction decay, dephasings and revivals, optical nutation, and self-induced transparency)

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[J]. 中国物理B, 2021, 30(6): 60309-060309.

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Wave packet dynamics of nonlinear Gazeau-Klauder coherent states of a position-dependent mass system in a Coulomb-like potential

Wave packet dynamics of nonlinear Gazeau-Klauder coherent states of a position-dependent mass system in a Coulomb-like potential

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