A generalization of the molecular dynamics method for calculating quantum-mechanical means (Q1385899)

A numerical method is developed for solving dynamic problems in the Wigner formulation of quantum mechanics. The Wigner representation contains only the concepts that are common for quantum and classical mechanics; therefore, it is especially convenient when one of the interacting systems is described by quantum theory, and the other system is described by the classical theory. The purpose of this work is to develop a new method for numerical solution of the Wigner-Liouville equation and to make test calculations of some quantum-mechanical means. The base of our approach is a combination of such classical methods as the method of molecular dynamics and the Monte Carlo method. Calculations are done for one-, two- and three-dimensional cases.