Adiabatic Decoupling and Time-Dependent Born-Oppenheimer Theory
Mathematical Physics
2009-11-07 v2 Analysis of PDEs
math.MP
Abstract
We reconsider the time-dependent Born-Oppenheimer theory with the goal to carefully separate between the adiabatic decoupling of a given group of energy bands from their orthogonal subspace and the semiclassics within the energy bands. Band crossings are allowed and our results are local in the sense that they hold up to the first time when a band crossing is encountered. The adiabatic decoupling leads to an effective Schroedinger equation for the nuclei, including contributions from the Berry connection.
Cite
@article{arxiv.math-ph/0104024,
title = {Adiabatic Decoupling and Time-Dependent Born-Oppenheimer Theory},
author = {Herbert Spohn and Stefan Teufel},
journal= {arXiv preprint arXiv:math-ph/0104024},
year = {2009}
}
Comments
Revised version. 19 pages, 2 figures