English

Exact Electronic Potentials in Coupled Electron-Ion Dynamics

Chemical Physics 2013-11-18 v1 Other Condensed Matter

Abstract

We develop a novel approach to the coupled motion of electrons and ions that focuses on the dynamics of the electronic subsystem. Usually the description of electron dynamics involves an electronic Schr\"odinger equation where the nuclear degrees of freedom appear as parameters or as classical trajectories. Here we derive the exact Schr\"odinger equation for the subsystem of electrons, staying within a full quantum treatment of the nuclei. This exact Schr\"odinger equation features a time-dependent potential energy surface for electrons (e-TDPES). We demonstrate that this exact e-TDPES differs significantly from the electrostatic potential produced by classical or quantum nuclei.

Keywords

Cite

@article{arxiv.1311.3218,
  title  = {Exact Electronic Potentials in Coupled Electron-Ion Dynamics},
  author = {Yasumitsu Suzuki and Ali Abedi and Neepa T. Maitra and Koichi Yamashita and E. K. U. Gross},
  journal= {arXiv preprint arXiv:1311.3218},
  year   = {2013}
}

Comments

5 pages, 2 figures

R2 v1 2026-06-22T02:06:51.926Z