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. © EDP Sciences, SMAI 2007.
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Panati, G., Spohn, H., & Teufel, S. (2007). The time-dependent born-oppenheimer approximation. Mathematical Modelling and Numerical Analysis, 41(2), 297–314. https://doi.org/10.1051/m2an:2007023
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