The time-dependent Born-Oppenheimer approximation

Details The time-dependent Born-Oppenheimer approximation The time-dependent Born-Oppenheimer approximation

2007-12-28

arxiv.org/abs/0712.4369v1

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.

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