On quantum microcanonical equilibrium

Details On quantum microcanonical equilibrium On quantum microcanonical equilibrium

2006-12-14

arxiv.org/abs/quant-ph/0612120v1

Journal of Physics: Conf. Ser. 67 (2007) 012025

Physics

Quantum Physics

6 pages, 3 figures. To appear in DICE 2006 conference proceedings

Scientific paper

10.1088/1742-6596/67/1/012025

A quantum microcanonical postulate is proposed as a basis for the equilibrium properties of small quantum systems. Expressions for the corresponding density of states are derived, and are used to establish the existence of phase transitions for finite quantum systems. A grand microcanonical ensemble is introduced, which can be used to obtain new rigorous results in quantum statistical mechanics.

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