63 citations · 184 across the 21 of their papers we have counts for
21 papers
SWKB and proper quantization conditions for translationally shape invariant potentials
Kamal Mahdi, Y Kasri, Y Grandati +1
Using a recently proposed classification for the primary translationally shape invariant potentials, we show that the exact quantization rule formulated by Ma and Xu is equivalent…
On the linear forms of the Schrodinger equation
Y. Kasri, A. Bérard, Y. Grandati +1
Generalizing the linearisation procedure used by Dirac and later by Lévy-Leblond, we derive the first-order non-relativistic wave equations for particles of spin 1 and spin 3/2 sta…
Dirac Equation in the Magueijo-Smolin Approach of Double Special Relativity
Z. Belhadi, F. Ménas, A. Bérard +2
We reconsider in details the Dirac equation in the context of the Magueijo-Smolin approach to the Doubly Special Relativity. Starting from the deformed dispersion relation we obtai…
Constrained Dynamics of an Anomalous Relativistic Spinning Particle in Electromagnetic Background
A. Berard, Subir Ghosh, Y. Grandati +2
In this paper we have considered the dynamics of an anomalous () charged relativistic spinning particle in the presence of an external electromagnetic field. The constrain…
Solvable rational extension of translationally shape invariant potentials
Yves Grandati, Alain Berard
Combining recent results on rational solutions of the Riccati-Schrödinger equations for shape invariant potentials to the scheme developed by Fellows and Smith in the case of the o…
Ma-Xu quantization rule and exact WKB condition for translationally shape invariant potentials
Yves Grandati, Alain Berard
For translationally shape invariant potentials, the exact quantization rule proposed by Ma and Xu is a direct consequence of exactness of the modified WKB quantization condition pr…