On quantum-classical correspondence in classical studies of atomic processes

A general method for the construction of the optimum classical description of a physical process on the atomic scale is presented. The method is devel oped for physical systems whose quantum versions are obtained by canonical quantization of their classical counterparts and it is in principle applica ble even in the case of 'low' quantum numbers. The criterion determining th e optimum description was essentially based on the comparison of the quantu m and classical probability distributions in terms of the canonical coordin ates. The main application of the method is in classical calculations of va rious quantities measured in atomic collision processes.