Dirac fermions in Som–Raychaudhuri space-time with scalar and vector potential and the energy momentum distributions

P Sedaghatnia, H Hassanabadi, F Ahmed - The European Physical …, 2019 - Springer
The main object of the present paper is to investigate the Dirac equation (Dirac fermions) in
presence of scalar and vector potential in a class of flat Gödel-type space-time called Som …

Relativistic solutions of generalized-Dunkl harmonic and anharmonic oscillators

S Hassanabadi, J Kříž, BC Lütfüoğlu… - Physica …, 2022 - iopscience.iop.org
Dunkl derivative enriches solutions by discussing parity due to its reflection operator. Very
recently, one of the authors of this manuscript presented one of the most general forms of …

Solutions of the D-dimensional Schrödinger equation with Killingbeck potential: Lie algebraic approach

H Panahi, S Zarrinkamar, M Baradaran - Chinese Physics B, 2015 - iopscience.iop.org
Algebraic solutions of the D-dimensional Schrödinger equation with Killingbeck potential are
investigated using the Lie algebraic approach within the framework of quasi-exact …

Dirac equation under Manning-Rosen potential and Hulthén tensor interaction

H Hassanabadi, E Maghsoodi, AN Ikot… - The European Physical …, 2013 - Springer
We study the Dirac equation with scalar and vector Manning-Rosen potentials and a
Hulthén tensor term in the pseudospin and spin symmetry limits. The energy eigenvalues …

Algebraic approach to quasi-exact solutions of the Dirac-Coulomb problem

H Panahi, M Baradaran - The European Physical Journal Plus, 2013 - Springer
The Dirac equation in the presence of Coulomb electrostatic potential is solved and the
quasi-exact solutions are obtained via osp (2, 2) algebraization. The Lie-algebraic approach …

Cornell interaction in the two-body semi-relativistic framework: The Lie algebraic approach

H Panahi, S Zarrinkamar, M Baradaran - The European Physical Journal …, 2016 - Springer
We consider an approximation to the two-body spinless Salpeter equation which is valid for
the case of heavy quarks with the Cornell potential. We then replace the square of kinetic …

Bound state solutions of square root power law potential--Wavefunction ansatz method on -dimensional Schr\"odinger equation

T Das - arXiv preprint arXiv:1503.07517, 2015 - arxiv.org
$ D $-dimensional Schr\"{o} dinger equation is addressed for square root power law
potential. Bound state unnormalized eigenfunctions and the energy eigenvalues are …

Exact solutions to relativistic singular fractional power potentials

D Agboola, YZ Zhang - Journal of Physics A: Mathematical and …, 2013 - iopscience.iop.org
We present (exact) solutions of the Dirac equation with equally mixed interactions for a
single fermion bounded by the family of fractional power singular potentials. Closed-form …

[PDF][PDF] Solutions of the quasi-exactly solvable Mathieu potential by the asymptotic iteration method

H Panahi, M Baradaran, SR Azizian - Romanian Reports in Physics, 2016 - rrp.nipne.ro
In this paper, we study the Schrödinger equation with quasi-exactly solvable Mathieu
potential which is belong to class X in Turbiner's classification. We calculate the energy …

Application of quasiexactly solvable potential method to the N-body problem of anharmonic oscillators

H Panahi, MM Gavabar - Pramana, 2016 - Springer
The quasiexactly solvable potential method is used to determine the energies and the
corresponding exact eigenfunctions for a system of N particles with equal mass interacting …