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 s u ( 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.