Zobrazeno 1 - 10
of 83
pro vyhledávání: '"Bentaiba, M"'
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
Externí odkaz:
http://arxiv.org/abs/1608.03876
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 quantu
Externí odkaz:
http://arxiv.org/abs/1607.03820
Autor:
Yahiaoui, S. -A., Bentaiba, M.
A new way for obtaining the bound-states for arbitrary non zero l-states of the rotating Morse potential is presented. We show that by making use of the inverse contour representation, which is based on a knowledge of the integral representation of E
Externí odkaz:
http://arxiv.org/abs/1201.2370
Autor:
Yahiaoui, S. A., Bentaiba, M.
Publikováno v:
2012 J. Phys. A: Math. Theor. 45 444034
In the context of the factorization method, we investigate the pseudo- Hermitian coherent states and its Hermitian counterpart coherent states under the generalized quantum condition in the framework of a position-dependent mass. By considering a spe
Externí odkaz:
http://arxiv.org/abs/1201.2372
Autor:
Yahiaoui, S. -A., Bentaiba, M.
Publikováno v:
ACTA PHYSICA POLONICA B Volume: 42 Issue: 8 Pages: 1755-1765 AUG 2011
We present a method for obtaining the quasi-exact solutions of the Rabi Hamiltonian in the framework of the asymptotic iteration method. The energy eigenvalues, the eigenfunctions and the associated Bender-Dunne orthogonal polynomials are deduced. Th
Externí odkaz:
http://arxiv.org/abs/1003.3212
Autor:
Yahiaoui, S. -A., Bentaiba, M.
An algebraic method of constructing the confluent Natanzon potentials endowed with position-dependent mass is presented. This is possible by identifying the scaling resolvent operator (Green's function) to nonrelativistic position-dependent mass Schr
Externí odkaz:
http://arxiv.org/abs/0908.2293
Autor:
Yahiaoui, S. -A., Bentaiba, M.
The line Laplace transforms is applied to the Morse potential. The wavefunctions and the energy levels through suitable path of integration are derived.
Comment: 5 pages
Comment: 5 pages
Externí odkaz:
http://arxiv.org/abs/0907.3936
Autor:
Yahiaoui, S. -A., Bentaiba, M.
The complementarity between the twin concepts of pseudo-Hermiticity and weak pseudo-Hermiticity, established by Bagchi and Quesne [Phys. Lett. A 301 (2002) 173-176], can be understood in terms of coordinate transformations.
Comment: 7pages
Comment: 7pages
Externí odkaz:
http://arxiv.org/abs/0902.0348
Autor:
Yahiaoui, S. -A., Bentaiba*, M.
A new manner for deriving the exact potentials is presented. By making use of conformal mappings, the general expression of the effective potentials deduced under su(1,1) algebra can be brought back to the general Natanzon hypergeometric potentials.
Externí odkaz:
http://arxiv.org/abs/0803.4376
Autor:
Yahiaoui, S. -A., Bentaiba, M.
The differential realization of the potential group SO(2,2) is used. The spectrum-generating algebra for a kind of exactly solvable potentials endowed with position-dependent mass is constructed.
Comment: 22 pages
Comment: 22 pages
Externí odkaz:
http://arxiv.org/abs/0711.2265