The time-dependent Born-Oppenheimer Approximation

G. Panati, H. Spohn, S. Teufel

ESIAM: Math. Model. and Num. Anal. 41 (2007), 297-314.
[The time-dependent Born-Oppenheimer Approximation (246.0 kB)]

Zusammenfassung

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.