An approximate analytic solution to the scattering problem of atoms by a weakly corrugated Morse potential is presented. In the classical limit the resulting scattering amplitude coincides with that given by the Kirchhoff approximation for the corrugated hard-wall model with a corrugation function identical to that of the Morse potential. Quantum mechanical effects appear as deviations from the Kirchhoff formula. For a general potential it is shown that it is the potential corrugation near vanishing potential which dominates the scattering process and not that at the classical turning point.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)