The thermal properties of a two-dimensional Dirac oscillator under an external magnetic field

A Boumali, H Hassanabadi - The European Physical Journal Plus, 2013 - Springer
In the language of creation and annihilation operators, we study a relativistic spin-1 2
fermion subject to a Dirac oscillator (DO) coupling and a constant magnetic field in both …

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 …

Exact solution of (2+ 1)-dimensional noncommutative Pauli equation in a time-dependent background

I Haouam, H Hassanabadi - International Journal of Theoretical Physics, 2022 - Springer
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 …

Generalized uncertainty principle in resonant detectors of gravitational waves

S Bhattacharyya, S Gangopadhyay… - Classical and Quantum …, 2020 - iopscience.iop.org
With the direct detection of gravitational waves (GWs) by advanced LIGO detector, a
new'window'to quantum gravity phenomenology has been opened. At present, these …

Path integral action for a resonant detector of gravitational waves in the generalized uncertainty principle framework

S Sen, S Bhattacharyya, S Gangopadhyay - Universe, 2022 - mdpi.com
The Heisenberg uncertainty principle is modified by the introduction of an observer-
independent minimal length. In this work, we have considered the resonant gravitational …

Two-dimensional Pauli equation in noncommutative phase-space

I Haouam - arXiv preprint arXiv:2012.06986, 2020 - arxiv.org
In this paper, we investigated the Pauli equation in a two-dimensional noncommutative
phase-space by considering a constant magnetic field perpendicular to the plane. We …

Heat flow and noncommutative quantum mechanics in phase-space

JFG Santos - Journal of Mathematical Physics, 2020 - pubs.aip.org
The complete understanding of thermodynamic processes in quantum scales is paramount
to develop theoretical models encompassing a broad class of phenomena as well as to …

Footprint of spatial noncommutativity in resonant detectors of gravitational wave

S Bhattacharyya, S Gangopadhyay… - Classical and Quantum …, 2019 - iopscience.iop.org
The present day gravitational wave (GW) detectors strive to detect the length variation,
which, owing to the smallness of the metric perturbation∼ h, is an extremely small length …

Colella-Overhauser-Werner test of the weak equivalence principle: A low-energy window to look into the noncommutative structure of space-time?

A Saha - Physical Review D, 2014 - APS
We construct the quantum mechanical model of the Colella-Overhauser-Werner (COW)
experiment assuming that the underlying space time has a granular structure, described by …

Noncommutative anisotropic oscillator in a homogeneous magnetic field

D Nath, P Roy - Annals of Physics, 2017 - Elsevier
We study anisotropic oscillator in the presence of a homogeneous magnetic field and other
related systems in the noncommutative plane. Energy values as function of the …