The time-dependent Born-Oppenheimer approximation

Authors :: Herbert Spohn
Stefan Teufel
Gianluca Panati
Publication Year :: 2007
Publisher :: EDP SCIENCES S A, 2007.
Abstract: We explain why the conventional argument for deriving the time-dependent Born-Oppenheimer approximation is incomplete and review recent mathematical results, which clarify the situation and at the same time provide a systematic scheme for higher order corrections. We also present a new elementary derivation of the correct second-order time-dependent Born-Oppenheimer approximation and discuss as applications the dynamics near a conical intersection of potential surfaces and reactive scattering.<br />Comment: 17 pages, no figures

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