| W. Fischer, H. Leschke, and P. Muller: "Dynamics by white noise Hamiltonians", Phys.Rev.Lett. 73(1994) 1578--1581 |
....is concentrated on the classical orbits, and has the initial condition as the only random parameter. On the other hand, if we take h C, some quantum perturbations of the free evolution survive the limit, and we get a diffusion in phase space with diffusion constant proportional to C (compare [FLM] and with a drift given by the Hamiltonian vector field. Joint work on these issues is in progress with Fabio Benatti. 5) Higher orders in h In the WKB method one is usually not only interested in the classical limit, but in the asymptotic expansion of the wave functions to all orders in h. ....
W. Fischer, H. Leschke, and P. Muller: "Dynamics by white noise Hamiltonians", Phys.Rev.Lett. 73(1994) 1578--1581
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