Free energy of a charged oscillator in a magnetic field and coupled to a heat bath through the momentum variables

Details Free energy of a charged oscillator in a magnetic field and coupled to a heat bath through the momentum variables Free energy of a charged oscillator in a magnetic field and coupled to a heat bath through the momentum variables

2012-03-04

arxiv.org/abs/1203.0771v1

Physics

Condensed Matter

Statistical Mechanics

8 pages, no figures, submitted to Phys. Rev. E

Scientific paper

We obtain an exact formula for the equilibrium free energy of a charged quantum particle moving in a harmonic potential in the presence of a uniform external magnetic field and linearly coupled to a heat bath through the momentum variables. The heat bath is modelled as a collection of independent quantum harmonic oscillators. The derived free energy has important differences from that in the case of coordinate-coordinate coupling between the particle and the heat-bath oscillators.

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