Coherent States for Landau Levels: Algebraic and Thermodynamical Properties

This work describes coherent states for a physical system governed by a Hamiltonian operator, in two-dimensional space, of spinless charged particles subject to a perpendicular magnetic field B, coupled with a harmonic potential. The underlying su(1,1) Lie algebra and Barut–Girardello coherent state...

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Bibliographic Details
Published inReports on mathematical physics Vol. 76; no. 2; pp. 247 - 269
Main Authors Aremua, Isiaka, Hounkonnou, Mahouton Norbert, Baloïtcha, Ezinvi
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.10.2015
Subjects
coherent states
isotropic harmonic potential
Landau levels
quantization
Landau levels
coherent states
isotropic harmonic potential
quantization
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Summary:This work describes coherent states for a physical system governed by a Hamiltonian operator, in two-dimensional space, of spinless charged particles subject to a perpendicular magnetic field B, coupled with a harmonic potential. The underlying su(1,1) Lie algebra and Barut–Girardello coherent states are constructed and discussed. Then, the Berezin–Klauder–Toeplitz quantization, also known as coherent state (or anti-Wick) quantization, is discussed. The thermodynamics of such a quantum gas system is elaborated and analyzed.
ISSN:0034-4877
1879-0674
DOI:10.1016/S0034-4877(15)30032-X