The time-dependent Born-Oppenheimer approximation

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dc.creatorPanati, Gianluca
dc.creatorSpohn, Herbert
dc.creatorTeufel, Stefan
dc.date2007-12-28
dc.date.accessioned2026-07-07T08:51:37Z
dc.date.available2026-07-07T08:51:37Z
dc.descriptionWe 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.
dc.description17 pages, no figures
dc.identifierhttps://arxiv.org/abs/0712.4369
dc.identifierhttp://arxiv.org/abs/0712.4369
dc.identifierESAIM: Math. Modelling and Numerical Analysis 41, 297-314 (2007)
dc.identifierdoi:10.1051/m2an:2007023
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144994
dc.subjectMathematical Physics
dc.subject81Q05, 81Q15, 81Q70
dc.titleThe time-dependent Born-Oppenheimer approximation
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