We consider a quantum system with $N$ degrees of freedom which is classically chaotic. When $N$ is large, and both $\hbar$ and the quantum energy uncertainty $\Delta E$ are small, quantum chaos theory can be used to demonstrate the following results: (1) given a generic observable $A$, the infinite time average $\overline A$ of the quantum expectation value $ $ is independent of all aspects of the initial state other than the total energy, and equal to an appropriate thermal average of $A$; (2)...

Source: http://arxiv.org/abs/chao-dyn/9511001v3