On a charged spinless point particle minimally coupled to a constant magnetic field in a noncommutative plane

DOI10.1016/j.aop.2023.169308arXiv2211.07192OpenAlexW4362606569MaRDI QIDQ6091110

Talal Ahmed Chowdhury, S. Hasibul Hassan Chowdhury

Publication date: 24 November 2023

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

Full work available at URL: https://arxiv.org/abs/2211.07192

zbMATH Keywords

deformation quantizationnoncommutative gauge theory

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Motion of charged particles (78A35) Electro- and magnetostatics (78A30) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Cites Work

• Unnamed Item
• On the Landau system in noncommutative phase-space
• The noncommutative Landau problem
• Quantum Hall effect in noncommutative quantum mechanics
• Deformation theory and quantization. I: Deformations of symplectic structures
• Deformation theory and quantization. II: Physical applications
• Noncommutative anisotropic oscillator in a homogeneous magnetic field
• On the principles of elementary quantum mechanics
• The exotic Galilei group and the ``Peierls substitution.
• Gauge theory on a quantum phase space

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