Time-dependent harmonic oscillator in a magnetic field and an electric field on the non-commutative plane

DOI10.1016/j.physleta.2010.10.035zbMath1241.81111OpenAlexW2002317575MaRDI QIDQ430541

Mai-Lin Liang, Yue Jiang

Publication date: 26 June 2012

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2010.10.035

zbMATH Keywords

harmonic oscillatorgeometric phasecoherent statenon-commutative quantum mechanics

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Coherent states (81R30) Noncommutative geometry in quantum theory (81R60) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (3)

Entropy and information of a harmonic oscillator in a time-varying electric field in 2D and 3D noncommutative spaces ⋮ Renormalization of the commutative scalar theory with harmonic term to all orders ⋮ Coherent States and Their Generalizations for a Charged Particle in a Magnetic Field

Cites Work

• Semiclassical and quantum motions on the non-commutative plane
• A new kind of representations on noncommutative phase space
• Deformed squeezed states in noncommutative phase space
• Gauge covariance of the Aharonov-Bohm phase in noncommutative quantum mechanics
• The non-commutative oscillator, symmetry and the Landau problem
• Some phenomenological consequences of the time-ordered perturbation theory of QED on non-commutative spacetime
• The quantum structure of spacetime of the Planck scale and quantum fields
• Quantal phase factors accompanying adiabatic changes
• Formulation, interpretation and application of non-commutative quantum mechanics
• Exact Quantization Conditions. II
• The Klein-Gordon and the Dirac Oscillators in a Noncommutative Space
• Spectrum of the non-commutative spherical well
• Noncommutative field theory
• Induced gauge theory on a noncommutative space

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