Journal of Atomic and Molecular Physics
Volume 2013 (2013), Article ID 424570, 5 pages
Electron-Pair Densities with Time-Dependent Quantum Monte Carlo
Physics Department, Sofia University, 1164 Sofia, Bulgaria
Received 4 April 2013; Revised 5 June 2013; Accepted 8 July 2013
Academic Editor: Keli Han
Copyright © 2013 Ivan P. Christov. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We use sets of de Broglie-Bohm trajectories to describe the quantum correlation effects which take place between the electrons in helium atom due to exchange and Coulomb interactions. A short-range screening of the Coulomb potential is used to modify the repulsion between the same spin electrons in physical space in order to comply with Pauli's exclusion principle. By calculating the electron-pair density for orthohelium, we found that the shape of the exchange hole can be controlled uniquely by a simple screening parameter. For parahelium the interelectronic distance, hence the Coulomb hole, results from the combined action of the Coulomb repulsion and the nonlocal quantum correlations. In this way, a robust and self-interaction-free approach is presented to find both the ground state and the time evolution of nonrelativistic quantum systems.