Another Return of 'Return to Equilibrium'

Details Another Return of 'Return to Equilibrium' Another Return of 'Return to Equilibrium'

2004-10-04

arxiv.org/abs/math-ph/0410011v1

Comm. Math. Phys. 2004

Physics

Mathematical Physics

Scientific paper

10.1007/s00220-004-1176-6

The property of ``{\it return to equilibrium}'' is established for a class of quantum-mechanical models describing interactions of a (toy) atom with black-body radiation, or of a spin with a heat bath of scalar bosons, under the assumption that the interaction strength is {\it sufficiently weak}. For models describing the first class of systems, our upper bound on the interaction strength is {\it independent} of the temperature $T$, (with $0

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