Generalized Laguerre Polynomials with Position-Dependent Effective Mass Visualized via Wigner's Distribution Functions
Mathematical Physics
2016-11-08 v2 math.MP
Abstract
We construct, analytically and numerically, the Wigner distribution functions for the exact solutions of position-dependent effective mass Schr\"odinger equation for two cases belonging to the generalized Laguerre polynomials. Using a suitable quantum canonical transformation, expectation values of position and momentum operators can be obtained analytically in order to verify the universality of the Heisenberg's uncertainty principle.
Cite
@article{arxiv.1607.03820,
title = {Generalized Laguerre Polynomials with Position-Dependent Effective Mass Visualized via Wigner's Distribution Functions},
author = {O Cherroudz and S-A Yahiaoui and M Bentaiba},
journal= {arXiv preprint arXiv:1607.03820},
year = {2016}
}
Comments
17 pages, 38 figures