Quantum equations for vibrational dynamics on metal surfaces
Abstract
A first-principles treatment of the vibrational dynamics of molecular chemisorbates on metal surfaces is presented. It is shown that the mean field quantum evolution of the vibrational position operator is determined by a quantum Langevin equation with an electronic friction. In the mean field limit, the quantum noise and friction are related by the quantum fluctuation-dissipation theorem. The classical limit of this model is shown to agree with previously proposed models. A criterion is presented to describe the validity of the weak-coupling approximation and equations of motion for the dynamics in the presence of strong nonadiabatic coupling to electron-hole pairs are presented.
Keywords
Cite
@article{arxiv.cond-mat/0607144,
title = {Quantum equations for vibrational dynamics on metal surfaces},
author = {Vinod Krishna},
journal= {arXiv preprint arXiv:cond-mat/0607144},
year = {2007}
}
Comments
16 pages, no figures. Accepted for publication, The Journal of Chemical Physics. http://jcp.aip.org