Isiaka Aremua, Mahouton Norbert Hounkonnou, Ezinvi Baloïtcha
This work addresses a study of coherent states for a physical system governed by a Hamiltonian operator describing the motion, in two dimensional space, of spinless electrons subjected to a perpendicular magnetic field ${\bf B}$ coupled with a harmonic potential $1/2}M\omega^{2}_{0}r^{2}$. The underlying $su(1, 1)$ Lie algebra and Barut-Girardello coherent states are constructed and discussed. Further, the Berezin - Klauder - Toeplitz quantization, also known as coherent state (or anti-Wick) quantization, is performed through this paper. The thermodynamics of such a quantum electron gas system is elaborated and analyzed.
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http://arxiv.org/abs/1301.6280
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