Asymptotics of distorted-wave matrix elements for strongly singular potentials.
A simple and asymptotically exact relation is derived for the ratio of the quantum matrix element <E/W/E'> to its classical counterpart in the limit of large energy E' . The method is based on an idea from Landau and works for a large class of potentials including the Lennard-Jones and the exponential potential. The result should be of interest in problems where large energy transfer is involved. Examples are the high-frequency wings of collisionally broadened spectra, or vibrational energy transfer of high-frequency oscillators.
Teubner
Max
M
Max-Planck-Institut für biophysikalische Chemie, Postfach 2841, 37077 Göttingen, Germany. mteubne@gwdg.de