[HTML][HTML] Aspects of phase-space noncommutative quantum mechanics

O Bertolami, P Leal - Physics Letters B, 2015 - Elsevier
In this work some issues in the context of Noncommutative Quantum Mechanics (NCQM) are
addressed. The main focus is on finding whether symmetries present in Quantum Mechanics …

Solutions of the Duffin–Kemmer equation in non-commutative space of cosmic string and magnetic monopole with allowance for the Aharonov–Bohm and Coulomb …

H Aounallah, A Boumali - Physics of Particles and Nuclei Letters, 2019 - Springer
In this work, we analyse the relativistic quantum motion of a charged scalar particles in the
presence of a Aharonov–Bohm (AB) and Coulomb potentials in the non-commutative …

On the interaction of an improved Schiöberg potential within the Yukawa tensor interaction under the background of deformed Dirac and Schrödinger equations

A Maireche - Indian Journal of Physics, 2023 - Springer
In the context of extended relativistic quantum mechanics (ERQM) symmetries with arbitrary
spin–orbit coupling quantum numbers k, we approximate solve the deformed Dirac equation …

Composite system in rotationally invariant noncommutative phase space

KP Gnatenko, VM Tkachuk - International Journal of Modern Physics …, 2018 - World Scientific
Composite system is studied in noncommutative phase space with preserved rotational
symmetry. We find conditions on the parameters of noncommutativity on which commutation …

Energy level splitting of a 2D hydrogen atom with Rashba coupling in non-commutative space

S Aghababaei, G Rezaei - Communications in Theoretical …, 2020 - iopscience.iop.org
We explore the non-commutative (NC) effects on the energy spectrum of a two-dimensional
hydrogen atom. We consider a confined particle in a central potential and study the modified …

Solutions of Noncommutative Two-Dimensional Position–Dependent Mass Dirac Equation in the Presence of Rashba Spin-Orbit Interaction by Using the Nikiforov …

I Haouam - International Journal of Theoretical Physics, 2023 - Springer
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 …

Electron dynamics in noncommutative geometry with magnetic field and Zitterbewegung phenomenon

MZ Abyaneh, M Farhoudi - The European Physical Journal Plus, 2021 - Springer
Starting from a gauge-invariant Dirac Hamiltonian with noncommutativity of space sector in
the presence of an external uniform magnetic field, the resulting Dirac equation has been …

[HTML][HTML] Weak equivalence principle in noncommutative phase space and the parameters of noncommutativity

KP Gnatenko, VM Tkachuk - Physics Letters A, 2017 - Elsevier
The weak equivalence principle is studied in a space with noncommutativity of coordinates
and noncommutativity of momenta. We find conditions on the parameters of …

Exact solutions of vector bosons in the presence of the Aharonov-Bohm and Coulomb potentials in the gravitational field of topological defects in non-commutative …

A Boumali, H Aounallah - Revista mexicana de física, 2020 - scielo.org.mx
In this work, we analyze the relativistic quantum motion of a charged vector particle in the
presence of an Aharonov-Bohm (AB) and Coulomb potentials in the non-commutative space …

Magnetic susceptibility of graphene in non-commutative phase-space: Extensive and non-extensive entropy

R Khordad, HR Rastegar Sedehi - The European Physical Journal Plus, 2019 - Springer
In this work, we consider a non-commutative description of graphene. We have employed
extensive and non-extensive entropies to study magnetic susceptibility of graphene in non …