Gauge invariant energy spectra in 2-dimensional noncommutative quantum mechanics

DOI10.1016/j.aop.2021.168505zbMath1464.81037arXiv2003.12662OpenAlexW3162020471MaRDI QIDQ2038341

Talal Ahmed Chowdhury, S. Hasibul Hassan Chowdhury, Md Arman Ud Duha

Publication date: 6 July 2021

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.12662

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Noncommutative geometry in quantum theory (81R60)

Cites Work

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• On the Landau system in noncommutative phase-space
• Gauge covariance of the Aharonov-Bohm phase in noncommutative quantum mechanics
• Quantum Hall effect in noncommutative quantum mechanics
• The non-commutative oscillator, symmetry and the Landau problem
• Noncommutative anisotropic oscillator in a homogeneous magnetic field
• A comparative review of four formulations of noncommutative quantum mechanics
• On the Bogoliubov transformation for quadratic boson observables
• Hall effect in noncommutative coordinates
• On the plethora of representations arising in noncommutative quantum mechanics and an explicit construction of noncommutative 4-tori
• Triply extended group of translations of $\mathbb {R}^{4}$ as defining group of NCQM: relation to various gauges
• Noncommutative quantum Hall effect and Aharonov–Bohm effect
• Quantum field theory on noncommutative spaces
• Gauge theory on a quantum phase space
• Quantum mechanics on the noncommutative plane and sphere

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