QUANTUM DYNAMICS AS A STOCHASTIC-PROCESS

The quantum Liouville equation is solved in the Wigner representation using generalized Mont Carlo techniques. For small increments of time, the solution is represented as a sequential classical evolution in phase space followed by a quantum ''jump'' distribution in momentum space, with the latter simulated via a stochastic method. Extending the work initiated by John and Remler [Ann Phys. (N.Y.) 180, 152 (1987)] the technique is developed and validated for higher dimensions. Also, an alternative algorithm is developed and applied to study motion of a quantum system in an anharmonic quartic potential well, with significantly improved results.