The semi-classical propagator and WKB mechanics

Abstract

The relation between the WKB and semi-classical propagator approaches to molecular collision theory is examined in terms of the properties of a new WKB propagator. It is found that the conditions for a valid stationary phase approximation to this quantity may be more severe than hitherto supposed. A novel aspect of the relation between the nature of the classical trajectory and a semi-classical transformation between coordinate and momentum representations is also examined.

This work was supported by the National Aeronautics and Space Administration Grant NGL 50-002-001.

This work was supported by the National Aeronautics and Space Administration Grant NGL 50-002-001.

Notes

This work was supported by the National Aeronautics and Space Administration Grant NGL 50-002-001.