Supersymmetry and coherent states for the displacement-operator-derived effective mass system

M. Vubangsi; M. Tchoffo; L. C. Fai; Yu. M. Pis’mak

doi:10.1140/epjp/i2015-15007-7

EPJ

Supersymmetry and coherent states for the displacement-operator-derived effective mass system

M. Vubangsi¹^*, M. Tchoffo¹, L. C. Fai¹ and Yu. M. Pis’mak²

¹ Mesoscopic and Multilayer Structures Laboratory, University of Dschang, P.O. Box 417, Dschang, Cameroon
² Department of Theoretical Physics, Saint Petersburg State University, Saint Petersburg, Russia

Received: 19 October 2014
Accepted: 24 November 2014
Published online: 16 January 2015

Abstract

Applying the supersymmetric quantum mechanics approach, we derive shape-invariant trigonometric potentials for the displacement-operator-derived effective mass Hamiltonian. By linearizing the algebra resulting from SUSY-QM factorization of the constructed systems, their coherent states are defined and shown to be exponentially dependent on a function of the quantum numbers.