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M. Bentaiba

Publications and source records attributed to M. Bentaiba.

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↗
arXiv2012

Pseudo-Hermitian coherent states under the generalized quantum condition with position-dependent mass

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 specific modification in the superpotential, a suitable annihilation and creation operators are constructed in order to reproduce the Hermitian counterpart Hamiltonian in the factorized form. We show that by means of these ladder operators we can construct a wide kind of exactly solvable potentials as well as their accompanying coherent states. Alternatively, we explore the relationship between the pseudo-Hermitian Hamiltonian and its Hermitian counterparts, obtained from a similarity transformation, to construct the associated pseudo-Hermitian coherent states. These latter preserve the structure of Perelomov's states and minimize the generalized position-momentum uncertainty principal.

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

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↗