https://doi.org/10.1140/epjp/i2014-14105-4
Regular Article
New kinetic energy operator for variable mass systems
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:
21
March
2014
Revised:
10
April
2014
Accepted:
17
April
2014
Published online:
2
June
2014
We have derived a new kinetic energy operator for studying variable mass systems. Our operator is dependent on the space deformation profile 
subject to the order parameter 
. At zeroth order, we recover the standard one-dimensional kinetic energy operator for a constant mass system while, for 
, the operator is interpreted as describing a system endowed with a position-dependent effective mass.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2014
