Generalized Laguerre polynomials with position-dependent effective mass visualized via Wigner's distribution functions

被引：11

作者：

Cherroud, Othmane ^{[1
]}

Yahiaoui, Sid-Ahmed ^{[2
]}

Bentaiba, Mustapha ^{[2
]}

机构：

[1] USTHB, Fac Phys, BP 32 El Alia, Algiers 16111, Algeria

[2] Univ Saad DAHLAB Blida 1, LPTHIRM, Dept Phys, Fac Sci, BP 270 Route Soumaa, Blida 09000, Algeria

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2017年 / 58卷 / 06期

关键词：

SCHRODINGER-EQUATION; HAMILTONIANS; OSCILLATOR; TRANSFORMATIONS; OPERATORS;

D O I：

10.1063/1.4984310

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We construct, analytically and numerically, the Wigner distribution functions for the exact solutions of the position-dependent effective mass Schrodinger equation for two cases belonging to the generalized Laguerre polynomials. Using a suitable quantum canonical transformation, expectation values of position and momentum operators are obtained analytically in order to verify the universality of Heisenberg's uncertainty principle. Published by AIP Publishing.

引用

页数：15

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