Time-dependent Aharonov–Casher effect on noncommutative space

T Wang, K Ma - Communications in Theoretical Physics, 2022 - iopscience.iop.org
In this paper, we study the time-dependent Aharonov–Casher effect and its corrections due
to spatial noncommutativity. Given that the charge of the infinite line in the Aharonov–Casher …

Time-dependent He–McKellar–Wilkens effect on noncommutative space

T Wang, K Ma - International Journal of Modern Physics A, 2023 - World Scientific
In this paper, we study time-dependent He–McKellar–Wilkens (HMW) phase shift, as well as
its extension on noncommutative space. We show that for adiabatic varying external …

Explicit form of Berry phase for time dependent harmonic oscillators in noncommutative space

M Dutta, S Ganguly, S Gangopadhyay - Physica Scripta, 2022 - iopscience.iop.org
In this paper we look for the existence of Berry phase in time dependent harmonic oscillators
in noncommutative space. Two systems are considered in our study in the noncommutative …

Investigation of a harmonic oscillator in a magnetic field with damping and time dependent noncommutativity

M Dutta, S Ganguly, S Gangopadhyay - Physica Scripta, 2021 - iopscience.iop.org
This work is devoted to find the eigenstates of a two dimensional damped harmonic
oscillator in the presence of an external magnetic field varying with respect to time with a …

Lewis and berry phases for a gravitational wave interacting with a quantum harmonic oscillator

S Sen, M Dutta, S Gangopadhyay - Physica Scripta, 2023 - iopscience.iop.org
In this work, we compute the Lewis and Berry phases for a gravitational wave interacting
with a two dimensional quantum harmonic oscillator in the transverse-traceless gauge. We …

Quantum theory of a harmonic oscillator in a time dependent noncommutative background

M Dutta, S Ganguly, S Gangopadhyay - arXiv preprint arXiv:2311.01482, 2023 - arxiv.org
This work explores the behaviour of a noncommutative harmonic oscillator in a time-
dependent background, as previously investigated by Dey {\it et al.}\,\cite {Dey}. Specifically …

A Primer on Noncommutative Classical Dynamics on Velocity Phase Space and Souriau Formalism

JF Cariñena, H Figueroa, P Guha - Algebra without Borders–Classical and …, 2023 - Springer
We present a comprehensive survey on dynamics of the motion of particles with
noncommutative Poisson structure. We use Souriau's method of orbit to study this exotic …

Exact solution of damped harmonic oscillator with a magnetic field in a time dependent noncommutative space

M Dutta, S Ganguly, S Gangopadhyay - arXiv preprint arXiv:2106.05182, 2021 - arxiv.org
In this paper we have obtained the exact eigenstates of a two dimensional damped
harmonic oscillator in the presence of an external magnetic field varying with respect to time …