Abstract
We discuss a generalized quantum microcanonical ensemble. It describes isolated systemsthat are not necessarily in an eigenstate of the Hamilton operator. Statistical averages areobtained by combining a time average and a maximum entropy argument to resolve thelack of knowledge about initial conditions. As a result, statistical averages of linearobservables coincide with values obtained in the canonical ensemble. Non-canonicalaverages can be obtained by taking into account conserved quantities which are non-linearfunctions of the microstate.
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