Stochastic correction to the semiclassical evolution of quantum wave packets. (English) Zbl 0933.60065
Summary: We represent the quantum evolution as a stochastic classical evolution. The deviation of the quantum wave packet from the classical trajectory is expressed by an expectation value of a functional dependent on the Brownian motion. On the basis of this expression we give a qualitative description of the wave packet dynamics.
MSC:
| 60H10 | Stochastic ordinary differential equations (aspects of stochastic analysis) |
| 81S40 | Path integrals in quantum mechanics |
| 81Q20 | Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory |
| 81P20 | Stochastic mechanics (including stochastic electrodynamics) |
| 81Q30 | Feynman integrals and graphs; applications of algebraic topology and algebraic geometry |
