A generalized quantum microcanonical ensemble

Details A generalized quantum microcanonical ensemble A generalized quantum microcanonical ensemble

2006-02-03

arxiv.org/abs/quant-ph/0602039v2

J. Stat. Mech. P06015 (2006)

Physics

Quantum Physics

improved version, new title

Scientific paper

10.1088/1742-5468/2006/06/P06015

We discuss a generalized quantum microcanonical ensemble. It describes isolated systems that are not necessarily in an eigenstate of the Hamilton operator. Statistical averages are obtained by a combination of a time average and a maximum entropy argument to resolve the lack of knowledge about initial conditions. As a result, statistical averages of linear observables coincide with values obtained in the canonical ensemble. Non-canonical averages can be obtained by taking into account conserved quantities which are non-linear functions of the microstate.

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