The time-dependent Born-Oppenheimer approximation

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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.
17 pages, no figures

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Mathematical Physics, 81Q05, 81Q15, 81Q70

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http://salesiana.dossiersoluciones.com/handle/123456789/144994

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0712.4369
 http://arxiv.org/abs/0712.4369
 ESAIM: Math. Modelling and Numerical Analysis 41, 297-314 (2007)
 doi:10.1051/m2an:2007023

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arXiv