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math-ph2026
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_{\…
math-ph2024★ 1 cited
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…