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 …

Aharonov–Casher effect for spin-1 particles in a non-commutative space

B Mirza, R Narimani, M Zarei - The European Physical Journal C-Particles …, 2006 - Springer
In this work, the Aharonov–Casher (AC) phase is calculated for spin-1 particles in a non-
commutative space. The AC phase has previously been calculated from the Dirac equation …

Quantum mechanics on noncommutative spacetime

X Calmet, M Selvaggi - Physical Review D—Particles, Fields, Gravitation, and …, 2006 - APS
We consider electrodynamics on a noncommutative spacetime using the enveloping
algebra approach and perform a nonrelativistic expansion of the effective action. We obtain …

Lorentz violation induced by Rashba coupling via non-commutative geometry

S Aghababaei, G Rezaei - Europhysics Letters, 2020 - iopscience.iop.org
In this paper we consider a simple non-relativistic quantum system for a particle confined
inside a pseudo-harmonic oscillator potential in the non-commutative space. We study the …

An algebraic theory of non-relativistic spin

PTJ Bradshaw - Physica Scripta, 2024 - iopscience.iop.org
In this paper we present a new, elementary derivation of non-relativistic spin using
exclusively real algebraic methods. To do this, we formulate a novel method to decompose …

A coherent-state-based path integral for quantum mechanics on the Moyal plane

HS Tan - Journal of Physics A: Mathematical and General, 2006 - iopscience.iop.org
Inspired by a recent work that proposes using coherent states to evaluate the Feynman
kernel in noncommutative space, we provide an independent formulation of the path-integral …

A Relationship Between Spin and Geometry

PTJ Bradshaw - Advances in Applied Clifford Algebras, 2024 - Springer
In physics, spin is often seen exclusively through the lens of its phenomenological character:
as an intrinsic form of angular momentum. However, there is mounting evidence that spin …

Exciton swapping in a twisted graphene bilayer as a solid-state realization of a two-brane model

M Sarrazin, F Petit - The European Physical Journal B, 2014 - Springer
It is shown that exciton swapping between two graphene sheets may occur under specific
conditions. A magnetically tunable optical filter is described to demonstrate this new effect …

Foundations for an Elementary Algebraic Theory of Systems with Arbitrary Non-Relativistic Spin

PTJ Bradshaw - 2024 - discovery.ucl.ac.uk
The description of spin in modern physics is multifaceted, and links together a broad variety
of physical concepts, including angular momentum, spinors, quantum mechanics, and …

CORRECTIONS TO THE ENERGY LEVELS OF HYDROGEN ATOM IN SPACE WITH SPIN NONCOMMUTATIVITY OF COORDINATES.

VM Vasyuta - Journal of Physical Studies, 2014 - search.ebscohost.com
The hydrogen atom was considered in space with spin noncommutativity of coordinates.
Corrections to the energy levels with a nonzero orbital quantum number were calculated …