Coherent States for the Two-Dimensional Dirac–Moshinsky Oscillator Coupled to an External Magnetic Field

DOI10.1088/0253-6102/63/3/271zbMath1310.81089arXiv1411.1968OpenAlexW1982039946MaRDI QIDQ5249417

D. Ojeda-Guillén, V. D. Granados, Roberto D. Mota

Publication date: 5 May 2015

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.1968

zbMATH Keywords

Lie algebrasDirac equationcoherent statesDirac-Moshinsky oscillator

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of Lie (super)algebras to physics, etc. (17B81) Coherent states (81R30) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (4)

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Cites Work

• Unnamed Item
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• \(\mathrm{SU}(1,1)\) coherent states for Dirac-Kepler-Coulomb problem in \(D+1\) dimensions with scalar and vector potentials
• On the Dirac oscillator
• The action option and a Feynman quantization of spinor fields in terms of ordinary \(C\)-numbers
• Dirac oscillator in an external magnetic field
• Energy spectrum of a 2D Dirac oscillator in the presence of the Aharonov-Bohm effect
• New 'coherent' states associated with non-compact groups
• Coherent states for arbitrary Lie group
• Radial coherent states for central potentials: The isotropic harmonic oscillator
• THE EIGENSPECTRUM AND HIDDEN SUPERSYMMETRY OF THE DIRAC OSCILLATOR IN 2+1 DIMENSIONS
• Dynamics of a Dirac oscillator coupled to an external field: a new class of solvable problems
• Exact solution of the N-dimensional generalized Dirac-Coulomb equation
• Electrical conductivity of magnetic multilayered structures
• Symmetry Lie algebra of the Dirac oscillator
• Continuous-Representation Theory. I. Postulates of Continuous-Representation Theory
• Equivalence of Semiclassical and Quantum Mechanical Descriptions of Statistical Light Beams

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