Classical representation of wave functions for integrable systems

A method to represent classical exact (CE) wave functions for the bound states of an arbitrary integrable systems was presented. The parameterization of classical motion was achieved by identifying certain quantities in superposition as classical action and angle variables. It was found that the procedure for parameterizing exact wave functions in terms of classical variables indicated a basic relationship between the quantum and classical description of states. It was shown that the CE wave function that exists for the bound states of an arbitrary integrable system were confined to a single classically allowed region.