Supersymmetry and coherent states for the displacement-operator-derived effective mass system
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
* e-mail: email@example.com
Accepted: 24 November 2014
Published online: 16 January 2015
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.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2015