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arXiv · 0712.4369

The time-dependent Born-Oppenheimer approximation

Gianluca Panati·Herbert Spohn·Stefan Teufel
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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.

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Gianluca Panati, Herbert Spohn, Stefan Teufel. 2007-12-28. The time-dependent Born-Oppenheimer approximation. https://doi.org/10.1051/m2an:2007023

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