Manifold curvature and Ehrenfest forces with a moving basis

Autor: Halliday, Jessica F. K., Artacho, Emilio
Rok vydání: 2021
Předmět:
Zdroj: SciPost Phys. 12, 020 (2022)
Druh dokumentu: Working Paper
DOI: 10.21468/SciPostPhys.12.1.020
Popis: Known force terms arising in the Ehrenfest dynamics of quantum electrons and classical nuclei, due to a moving basis set for the former, can be understood in terms of the curvature of the manifold hosting the quantum states of the electronic subsystem. Namely, the velocity-dependent terms appearing in the Ehrenfest forces on the nuclei acquire a geometrical meaning in terms of the intrinsic curvature of the manifold, while Pulay terms relate to its extrinsic curvature.
Comment: 4 pages, no figures, as accepted in SciPost Physics
Databáze: arXiv