Semiclassical and quantum motions on the non-commutative plane

DOI10.1016/j.physleta.2009.08.059zbMath1234.81092arXiv0906.0388OpenAlexW2120029437MaRDI QIDQ407851

M. C. Baldiotti, Jean-Pierre Gazeau, Dmitri M. Gitman

Publication date: 28 March 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.0388

zbMATH Keywords

coherent statesnon-commutative Landau problemnon-commutative particles dynamics

Mathematics Subject Classification ID

Coherent states (81R30) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Noncommutative geometry in quantum theory (81R60) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Motion of charged particles (78A35)

Related Items (6)

Entropy and information of a harmonic oscillator in a time-varying electric field in 2D and 3D noncommutative spaces ⋮ THREE-DIMENSIONAL KLEIN–GORDON OSCILLATOR IN A BACKGROUND MAGNETIC FIELD IN NONCOMMUTATIVE PHASE SPACE ⋮ Time-dependent harmonic oscillator in a magnetic field and an electric field on the non-commutative plane ⋮ Extended pseudo-fermions from non commutative bosons ⋮ Coherent States and Their Generalizations for a Charged Particle in a Magnetic Field ⋮ Gauge invariance and classical dynamics of noncommutative particle theory

Cites Work

• Anisotropic harmonic oscillator, non-commutative Landau problem and exotic Newton-Hooke symmetry
• Coherent states of a particle in a magnetic field and the Stieltjes moment problem
• The noncommutative Landau problem
• The action option and a Feynman quantization of spinor fields in terms of ordinary \(C\)-numbers
• Path integral representations in noncommutative quantum mechanics and noncommutative version of Berezin-Marinov action
• Fine structure of constraints in Hamiltonian formulation
• Coherent states, wavelets and their generalizations
• Coherent states for arbitrary Lie group
• Formulation, interpretation and application of non-commutative quantum mechanics
• Coherent states for a quantum particle on a circle
• Coherent states and dissipation for the motion of a charged particle in a constant magnetic field
• Exotic Galilean symmetry in the non-commutative plane and the Hall effect
• Coherent states of a charged particle in a uniform magnetic field
• Equivalence of Semiclassical and Quantum Mechanical Descriptions of Statistical Light Beams
• Motion in a Constant Magnetic Field
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