Bayesian approach to electron correlation in density functional theory
Chemical Physics
2012-12-05 v2 Quantum Physics
Abstract
In the present communication the Bayesian conditional probability approach is applied to the wave function of a many-electron system that results in appearance of a quantum vector potential in the DFT Schrodinger equation due to electron correlation, apart from the correlation energy term. Mathematically, the effect of this vector potential is equivalent to a magnetic field that corresponds in particular to a conservative irrotational one if it is considered in connection with the correlation potential. An analysis of the effect of the correlation momentum on the electronic transitions suggested that the electron correlation increases the transition probability.
Cite
@article{arxiv.1205.0099,
title = {Bayesian approach to electron correlation in density functional theory},
author = {R. Tsekov and G. N. Vayssilov},
journal= {arXiv preprint arXiv:1205.0099},
year = {2012}
}
Comments
The paper is dedicated to the 70th anniversary of Werner Freyland