Physics – Mathematical Physics
Scientific paper
2007-12-28
ESAIM: Math. Modelling and Numerical Analysis 41, 297-314 (2007)
Physics
Mathematical Physics
17 pages, no figures
Scientific paper
10.1051/m2an:2007023
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.
Panati Gianluca
Spohn Herbert
Teufel Stefan
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