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Time-Dependent Semiclassical Scattering Theory. II. Atomic Collisions

1969/05/05 by Philip Pechukas · 1 voice · 2 citations
Physics and Astronomy · #Atomic and Molecular Physics #Cold Atom Physics and Bose-Einstein Condensates #Quantum optics and atomic interactions

paper · doi:10.1103/physrev.181.174

openalex publication_date 1969/05/05 · openalex created_date 2025/10/10 · openalex updated_date 2025/11/06

Abstract

We derive "classical" equations for the relative motion of two atoms as their insides make a given quantum transition. The classical changes in relative energy and angular momentum associated with this description just balance the corresponding quantum changes in internal energy and angular momentum for the transition involved. The work is based on a generalization of Hamilton's principle, suggested in a natural way by Feynman's formulation of quantum mechanics; the semiclassical scattering theory which emerges is, in essence, a justification and extension of the impact-parameter method. Applications to low-energy atomic collisions are discussed briefly.

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