arXiv subjects

S. -A. Yahiaoui

Publications and source records attributed to S. -A. Yahiaoui.

11 recordsLinked to original sources

arXiv2012

Inverse Contour Representation as a Solution of the Rotating Morse Potential

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 Euler's beta function, the radial wave-function as well as their energy eigenvalues are deduced. The results obtained are compared with the findings in the literature and it is found that are good agreement with those deduced by others methods.

math-ph↗

arXiv2010

Bender-Dunne Orthogonal Polynomials, Quasi-Exact Solvability and Asymptotic Iteration Method for Rabi Hamiltonian

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. The latter prove to have a nonpositive definite norm.

math-ph↗

arXiv2009

Line Laplace Transforms for obtaining the Exact Bound States for the Morse Potential

The line Laplace transforms is applied to the Morse potential. The wavefunctions and the energy levels through suitable path of integration are derived.

math-ph↗

arXiv2009

Resolvent Operator Transformations and Bound-State Solutions for Confluent Natanzon Potentials

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 Schrodinger equation.

math-ph↗

arXiv2009

Pseudo-Hermiticity and weak pseudo-Hermiticity: Equivalence of complementarity and the coordinate transformations in position-dependent mass

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.

math-ph↗

arXiv2008

A Group-Theoretical Method for Natanzon Potentials in Position-Dependent Mass Background

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.

math-ph↗

arXiv2007

Weak-Pseudo-Hermiticity of Non-Hermitian Hamiltonians with Position-Dependent Mass

We extend the definition of eta-weak-pseudo-Hermiticity to the class of potentials endowed with position-dependent mass. The construction of non-Hermitian Hamiltonians through some generating function are obtained. Special cases of potentials are thus deduced.

math-ph↗

arXiv2007

Exactly Solvable Potentials by SO(2,2) Dynamical Algebra

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.

math-ph↗

arXiv2007

The effective potential and resummation procedure to multidimensional complex cubic potentials for weak and strong-coupling

The method for the recursive calculation of the effective potential is applied successfully in case of weak coupling limit (g tend to zero) to a multidimensional complex cubic potential. In strong-coupling limit (g tend to infinity), the result is resumed using the variational perturbation theory (VPT). It is found that the convergence of VPT-results approaches those expected.

math-ph↗

arXiv2007

Generalized Morse and Poschl-Teller potentials : The connection via Schrodinger equation

We present here a systematic and unified treatment to connect the Schrodinger equation corresponding to generalized Morse and Poschl-Teller potentials. We then show that the wave functions and generalized potentials are linked through the Fourier and Hankel transforms, respectively.

math-ph↗

arXiv2007

New Solvable Shape-Invariant Potentials for Position-Dependent Effective Mass

Four new exactly solvable, real and shape-invariant potentials associated with a position-dependent effective mass are generated within the concept of shape-invariant potentials using a specific ansatz for superpotential. The accompanying energy spectra of the bound-state and the ground-state wavefunction are obtained algebraically as a function of free parameters and the results are compared with those of others works in the litterature.

math-ph↗