Non-Markovian dynamics of electron-molecule collision complexes

摘要: The time-dependent description of the dynamics electron-molecule collision complexes is outlined within framework Feshbach's projection-operator formalism. It shown that equation motion for quantum-mechanical wave packet representing complex contains effective-potential terms which are nonlocal as well non-Markovian, is, time development depends on previous history system. space-time integro-differential explicitly (numerically) solved a class simple models using expansions into complete sets functions in both space and time. exact wave-packet compared with results obtained local-complex-potential approximation, corresponds to Markovian approximation decay dynamics. concepts numerical methods illustrated model well-known /sup 2//Pi//sub g/ shape resonance electron-N/sub 2/ scattering, where boomerang effect reproduced. For /ital p/-wave near threshold, novel qualitative effects revealed, namely, nonmonotonic electronic (recapture electrons from continuum) strong frictional vibrational motion. virtual-state threshold s/-wave scattering also briefly considered.