Quantum Statistical Operator and Classically Chaotic Hamiltonian System

Abstract

In a Hamiltonian system von Neumann Statistical Operator is used to tease out the quantum consequence of (classical) chaos engendered by the nonlinear coupling of system to its environment. An example of coupled oscillators is given. Such an operator, at fixed energy of system and at a given Poincarì section is in a mixed state, inevitably.