Eur. Phys. J. Plus (2014) 129: 129
https://doi.org/10.1140/epjp/i2014-14129-8

Regular Article

Quantum dynamics of a kicked system with position-dependent effective mass

¹ Mesoscopic and Multilayer Structures Laboratory (MMLS), Department of Physics, Faculty of Science, University of Dschang, P.O. Box 417, West Region, Cameroon
² Department of Physics, Higher Teacher’s Training College, University of Bamenda, P.O. Box 39, North West Region, Cameroon

^* e-mail: vmercel@yahoo.com

Received: 16 April 2014
Revised: 27 May 2014
Accepted: 29 May 2014
Published online: 24 June 2014

Abstract

The quantum dynamics of a complexified position-dependent effective-mass system is considered within the framework of the δ-function kicking perturbation. The absorptive/dissipative dynamics of the system exhibits energy crossing subject to different parametrization of space deformation upon time evolution, which is reminiscent of chaotic behavior in quantum systems. It is also observed a cross-over from ballistic dissipation to dynamic localization for decreasing perturbation strengths.