Adiabatic Decoupling and Time-Dependent Born-Oppenheimer Theory
Herbert Spohn, Stefan Teufel
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.
Create a lesson
Related papers
Almost invariant subspaces in the topologically non-trivial setting: a pedestrian approach
Horia Cornean, Gabriele Peluso, Mikkel Hviid Thorn
Nested polynomial algebras and the exact spectrum of a three-dimensional two-spin oscillator
Ian Marquette, O. Ogulcan Tuncer, I. Yurdusen
Geometric bulk conductances in even dimensions
Alexis Drouot
Superintegrable systems in curved spaces via coalgebras and deformed Racah algebras
Samuel Jimenez-Swain, Ian Marquette, Yao-Zhong Zhang
Using the Renormalized Energy from Ginzburg-Landau Theory to Compute Solution Landscapes in the Reduced Landau-de Gennes Theory
Yucen Han, Apala Majumdar
The Fröhlich Polaron at large total momentum in d=3
Tobias Schmidt