We study the combined effects of both position-dependent mass (PDM) and Rashba spin-
orbit interaction (RSOI) on the Dirac equation of a spin 1/2 particle moving in a plane and in …

In this paper, we obtain exact solutions of the time-dependent noncommutative Pauli
equation with considering a constant magnetic field perpendicular to the plane through …

This paper aims to investigate the two-dimensional Klein-Gordon oscillator system in a
dynamical noncommutative (DNC) space. We address the deformed system using the time …

The quantum Hall effect under the influence of gravity and inertia is studied in a unified way.
We make use of an algebraic approach, as opposed to an analytic approach. We examine …

In this paper, the DKP equation has been studied in q-deformed quantum mechanics. After
rewriting the DKP equation in the new formalism, the system of coupled equations for the …

Following the path integral approach, and in the context of curved Snyder space, we
formulate the Green function for a (1+ 1)-dimensional Dirac oscillator system subject to a …

In this paper, we present an exact solution of the Klein–Gordon equation in the framework of
the fractional-dimensional space, in which the momentum and position operators satisfying …

In this work, we study an explicit calculation of the deformed Pauli–Schrödinger oscillator for
nonrelativistic charged spin 1/2 particle in momentum space with Snyder–de Sitter model …

Recently, H. Benzair et al.[Mod. Phys. Lett. A 35, 2050246 (2020).] formulated in one
dimension the nonrelativistic propagator for position-dependent mass (PDM) from the …

In this thesis, we conducted an analytical study at the atomic scale of two-dimensional
relativistic deformed bosonic and fermionic oscillator equations for charged particles subject …