The time-dependent Born-Oppenheimer approximation
Mathematical Physics
2007-12-31 v1 math.MP
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.
Keywords
Cite
@article{arxiv.0712.4369,
title = {The time-dependent Born-Oppenheimer approximation},
author = {Gianluca Panati and Herbert Spohn and Stefan Teufel},
journal= {arXiv preprint arXiv:0712.4369},
year = {2007}
}
Comments
17 pages, no figures