||COHERENT STATES FOR LANDAU LEVELS: ALGEBRAIC AND THERMODYNAMICAL PROPERTIES
AREMUA Isiaka ,
HOUNKONNOU MAHOUTON NORBERT ,
||ReportS on Mathematical Physics
||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.
||isotropic harmonic potential, Landau levels, coherent states, quantization.
||247 - 269