A theory of vibrational energy relaxation based on a semiclassical treatment
of the quantum master equation is presented. Using new results on the
semiclassical expansion of dipole matrix elements, we show that in the
classical limit the master equation reduces to the Zwanzig energy diffusion
equation. The leading quantum corrections are determined and discussed for the
harmonic and Morse potentials.Comment: See also at http://vesta.physik.uni-freiburg.de/www/dqs/sfb.htm