Thermal Equilibrium from the Hu-Paz-Zhang Master Equation

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages, McGill/92--46

Scientific paper

The exact master equation for a harmonic oscillator coupled to a heat bath, derived recently by Hu, Paz and Zhang, is simplified by taking the weak-coupling, late-time limit. The unique time-independent solution to this simplified master equation is the canonical ensemble at the temperature of the bath. The frequency of the oscillator is effectively lowered by the interaction with the bath.

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