STOCHASTIC PATH-INTEGRAL SIMULATION OF QUANTUM SCATTERING

We present a path-integral solution for the exact propagation of the W igner distribution in phase space, which is an improved version of res ults obtained [Maslov, Bertrand, Combe, and co-workers, J. Sov. Math. 13, 315 (1980); 19, 55 (1982); Lett. Math. Phys. 7, 327 (1983); Physic a 124A, 561 (1984)] and is suitable for Monte Carlo simulations. The t rajectories involved are purely stochastic processes exhibiting discon tinuous jumps in momentum. The applicability of the method is demonstr ated for scattering at a one-dimensional barrier.