Abstract
We give a path-integral derivation for the rate of stationary diffusion over a multidimensional barrier which reduces to Kramers formula in the classical limit. As an example we show within a two-dimensional model for nuclear fission that the classical-rate formula yields a stationary flow in close agreement with a more accurate Langevin calculation in which stationary is reached after a transient time. We also calculate quantal corrections to the classical rate as function of the temperature, and discuss differences between the one- and two-dimensional treatments of the fission process.
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