Generalized Laguerre Polynomials with Position-Dependent Effective Mass Visualized via Wigner's Distribution Functions

Autor:	Cherroudz, O, Yahiaoui, S-A, Bentaiba, M
Rok vydání:	2016
Předmět:	Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	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. Comment: 17 pages, 38 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1607.03820 Zobrazit plný text záznamu View this record from Arxiv