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arXiv · 1607.03820

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

O Cherroudz·S-A Yahiaoui·M Bentaiba
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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.

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O Cherroudz, S-A Yahiaoui, M Bentaiba. 2016-07-13. Generalized Laguerre Polynomials with Position-Dependent Effective Mass Visualized via Wigner's Distribution Functions. https://arxiv.org/abs/1607.03820

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