Quantum thermodynamics of a charged magneto-oscillator coupled to a heat bath

Explicit results for various quantum thermodynamic functions (QTF) of a charged magneto-oscillator coupled to a heat bath at arbitrary temperature are shown in this paper. Separate expressions for different QTF in the two limits of very low and very high temperatures are presented for three popular heat bath models: the ohmic, single-relaxation-time and black body radiation ones. The central result is that the effect of magnetic field turns out to be important at low temperatures as well as at high temperatures. It is observed that the dissipation parameter, γ, and the cyclotron frequency, ωc, affect the decaying or rising behaviour of various QTF exactly oppositely to each other at low temperatures. In the high temperature regime, the effect of γ is much more pronounced than that of ωc