arXiv subjects

M Bentaiba

Publications and source records attributed to M Bentaiba.

2 recordsLinked to original sources

arXiv2017

New Fourier Transform Containing a Pair of Complex Euler Gamma Functions With a Monomial: Mathematical and Physical Applications

One of the goals of the present paper is to propose an elementary method to find a general formula for the Fourier transform containing a pair of complex gamma functions with a monomial sm in terms of Gauss's hypergeometric functions 2F1. We further collect some mathematical results that follow by means of this transform. Physical applications requiring the expectation values of position and momentum operators for a quantum system endowed with position-dependent effective mass are presented.

math-ph↗

arXiv2016

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

We construct, analytically and numerically, the Wigner distribution functions for the exact solutions of position-dependent effective mass Schrödinger 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.

math-ph↗