Position Dependent Mass Oscillators and Coherent States
Quantum Physics
2009-04-13 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
The solving of the Schrodinger equation for a position-dependent mass quantum system is studied in two ways. First, it is found the interaction which must be applied on a mass m(x) in order to supply it with a particular spectrum of energies. Second, given a specific potential V(x) acting on the mass m(x), the related spectrum is found. The method of solution is applied to a wide class of position-dependent mass oscillators and the corresponding coherent states are constructed. The analytical expressions of such position-dependent mass coherent states preserve the functional structure of the Glauber states.
Cite
@article{arxiv.0902.2029,
title = {Position Dependent Mass Oscillators and Coherent States},
author = {Sara Cruz y Cruz and Oscar Rosas-Ortiz},
journal= {arXiv preprint arXiv:0902.2029},
year = {2009}
}
Comments
24 pages, 2 tables, 8 figures