10 citations · 51 across the 15 of their papers we have counts for
15 papers
From Bopp Shifts to Toroidal Shadows: K-Theoretic Gap Labels in Noncommutative Quantum Mechanics
S. Hasibul Hassan Chowdhury
We study Bopp shifts in two-dimensional noncommutative quantum mechanics (NCQM) through a functorial lens. A nondegenerate NCQM sector with central character $(\hbar,\vartheta,B_{\…
Supersymmetric Quantum Mechanics on a noncommutative plane through the lens of deformation quantization
Md. Rafsanjany Jim, S. Hasibul Hassan Chowdhury
A gauge invariant mathematical formalism based on deformation quantization is outlined to model an supersymmetric system of a spin charged particle placed in…
Quantum simulation of quantum mechanical system with spatial noncommutativity
S. Hasibul Hassan Chowdhury, Talal Ahmed Chowdhury, Salah Nasri +2
Quantum simulation has become a promising avenue of research that allows one to simulate and gain insight into the models of High Energy Physics whose experimental realizations are…
On a charged spinless point particle minimally coupled to a constant magnetic field in a noncommutative plane
S. Hasibul Hassan Chowdhury, Talal Ahmed Chowdhury
In this paper, we provide a mathematically and physically consistent minimal prescription for a charged spinless point particle coupled to a constant magnetic field in a 2-dimensio…
Gauge invariant energy spectra in 2-dimensional noncommutative quantum mechanics
S. Hasibul Hassan Chowdhury, Talal Ahmed Chowdhury, MD Arman Ud Duha
In this paper we consider an electron moving on a two dimensional noncommutative plane immersed in a constant magnetic field under the influence of an anisotropic harmonic potentia…
Wigner functions for gauge equivalence classes of unitary irreducible representations of noncommutative quantum mechanics
S. Hasibul Hassan Chowdhury, Hishamuddin Zainuddin
While Wigner functions forming phase space representation of quantum states is a well-known fact, their construction for noncommutative quantum mechanics (NCQM) remains relatively…
Noncommutative coherent states and related aspects of Berezin-Toeplitz quantization
S. Hasibul Hassan Chowdhury, S. Twareque Ali, Miroslav Engliš
In~this paper, we construct noncommutative coherent states using various families of unitary irreducible representations (UIRs) of $\g$, a connected, simply connected nilpotent Lie…
Deformation of Noncommutative Quantum Mechanics
Jian-Jian Jiang, S. Hasibul Hassan Chowdhury
In this paper, the Lie group , of which the kinematical symmetry group of noncommutative quantum mechanics (NCQM) is a special case due to fixed nonzero $α…
On the Plethora of Representations Arising in Noncommutative Quantum Mechanics and An Explicit Construction of Noncommutative 4-tori
S. Hasibul Hassan Chowdhury
We construct a 2-parameter family of unitarily equivalent irreducible representations of the triply extended group $\g$ of translations of associated with a family…
Wigner Functions for Noncommutative Quantum Mechanics: a group representation based construction
S. Hasibul Hassan Chowdhury, S. Twareque Ali
This paper is devoted to the construction and analysis of the Wigner functions for noncommutative quantum mechanics, their marginal distributions and star-products, following a tec…
On Derivation of Goldman Bracket
S. Hasibul Hassan Chowdhury
In this paper, we obtain an infinite dimensional Lie algebra of exotic gauge invariant observables that is closed under Goldman-type bracket associated with monodromy matrices of f…
Triply Extended Group of Translations of as Defining Group of NCQM: relation to various gauges
S. Hasibul Hassan Chowdhury, S. Twareque Ali
The role of the triply extended group of translations of , as the defining group of two dimensional noncommutative quantum mechanics (NCQM), has been studied in \ci…
Coadjoint Orbits and Wigner functions of (1+1)-Extended Affine Galilei Group and Galilei Group
S. Hasibul Hassan Chowdhury, S. Twareque Ali
We study the coadjoint orbits of the noncentrally extended (1+1)-affine Galilei group and compute the relevant Wigner functions built on them explicitly. We consider the centrally…
The Symmetry Groups of Noncommutative Quantum Mechanics and Coherent State Quantization
S. Hasibul Hassan Chowdhury, S. Twareque Ali
We explore the group theoretical underpinning of noncommutative quantum mechanics for a system moving on the two-dimensional plane. We show that the pertinent groups for the system…
All the Groups of Signal Analysis from the (1+1)-affine Galilei Group
S. Hasibul Hassan Chowdhury, S. Twareque Ali
We study the relationship between the (1+1)-affine Galilei group and four groups of interest in signal analysis and image processing, viz., the wavelet or the affine group of the l…