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math-ph2016★ 8 cited
Isospectral Hamiltonian for position-dependent mass for an arbitrary quantum system and coherent states
Sid-Ahmed Yahiaoui, Mustapha Bentaiba
By means of the unitary transformation, a new way for discussing the ordering prescription of Schrodinger equation with a position-dependent mass (PDM) for isospectral Hamiltonian…
math-ph2016★ 1 cited
New Fourier Transform Containing a Pair of Complex Euler Gamma Functions With a Monomial: Mathematical and Physical Applications
S-A Yahiaoui, O Cherroud, M Bentaiba
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 mon…
math-ph2016
Generalized Laguerre Polynomials with Position-Dependent Effective Mass Visualized via Wigner's Distribution Functions
O Cherroudz, S-A Yahiaoui, M Bentaiba
We construct, analytically and numerically, the Wigner distribution functions for the exact solutions of position-dependent effective mass Schrödinger equation for two cases belong…