Semiclassical Limit of Multichannel Scattering Theory
1975; American Physical Society; Volume: 34; Issue: 14 Linguagem: Inglês
10.1103/physrevlett.34.849
ISSN1092-0145
Autores Tópico(s)Spectral Theory in Mathematical Physics
ResumoThe space-time propagator for multichannel scattering is cast in the form of a Feynman path integral where the action is a matrix and the interactions are nonlocal in time. The $S$ matrix is evaluated in the semiclassical limit, leading to trajectories which naturally follow individual channel potentials in noninteracting regions and adiabatic-like ones in strongly interacting ones. A numerical example is provided for the curve-crossing problem, and the agreement with exact quantum results is good even when the interaction region is large and/or encompasses classical turning points.
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