About this Journal Submit a Manuscript Table of Contents
Journal of Atomic and Molecular Physics
Volume 2013 (2013), Article ID 424570, 5 pages
http://dx.doi.org/10.1155/2013/424570
Research Article

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.

Linked References

  1. A. J. Coleman, “Density matrices in the quantum theory of matter: energy, intracules and extracules,” International Journal of Quantum Chemistry, vol. 1, supplement 1, pp. 457–464, 1967. View at Publisher · View at Google Scholar
  2. A. J. Thakkar, “Extracules, intracules, correlation holes, potentials, coefficients and all that,” in Density Matrices and Density Functionals, R. Erdahl and V. H. Smith Jr, Eds., pp. 553–581, Reidel, New York, NY, USA, 1987. View at Publisher · View at Google Scholar
  3. C. A. Coulson and A. H. Neilson, “Electron correlation in the ground state of helium,” Proceedings of the Physical Society, vol. 78, no. 5, p. 831, 1961. View at Publisher · View at Google Scholar
  4. R. J. Boyd and C. A. Coulson, “The Fermi hole in atoms,” Journal of Physics B, vol. 7, no. 14, pp. 1805–1816, 1974. View at Publisher · View at Google Scholar · View at Scopus
  5. N. Moiseyev, J. Katriel, and R. J. Boyd, “On the Fermi hole in atoms,” Journal of Physics B, vol. 8, no. 8, pp. L130–L133, 1975. View at Publisher · View at Google Scholar · View at Scopus
  6. P. M. W. Gill, D. O'Neill, and N. A. Besley, “Two-electron distribution functions and intracules,” Theoretical Chemistry Accounts, vol. 109, no. 5, pp. 241–250, 2003. View at Publisher · View at Google Scholar
  7. B. M. Austin, D. Y. Zubarev, and W. A. Lester, “Quantum monte carlo and related approaches,” Chemical Reviews, vol. 112, no. 1, pp. 263–288, 2012. View at Publisher · View at Google Scholar · View at Scopus
  8. I. P. Christov, “Correlated non-perturbative electron dynamics with quantum trajectories,” Optics Express, vol. 14, no. 15, pp. 6906–6911, 2006. View at Publisher · View at Google Scholar · View at Scopus
  9. I. P. Christov, “Dynamic correlations with time-dependent quantum Monte Carlo,” Journal of Chemical Physics, vol. 128, no. 24, Article ID 244106, 2008. View at Publisher · View at Google Scholar
  10. I. P. Christov, “Polynomial-time-scaling quantum dynamics with time-dependent quantum Monte Carlo,” The Journal of Physical Chemistry A, vol. 113, pp. 6016–6021, 2009. View at Publisher · View at Google Scholar
  11. I. P. Christov, “Correlated electron dynamics with time-dependent quantum Monte Carlo: three-dimensional helium,” Journal of Chemical Physics, vol. 135, no. 4, Article ID 044120, 2011. View at Publisher · View at Google Scholar
  12. I. P. Christov, “Erratum “Correlated electron dynamics with time-dependent quantum Monte Carlo: three-dimensional helium”,” Journal of Chemical Physics, vol. 135, no. 14, Article ID 149902, 2011. View at Publisher · View at Google Scholar
  13. I. P. Christov, “Exploring quantum non-locality with de Broglie-Bohm trajectories,” Journal of Chemical Physics, vol. 136, no. 3, Article ID 034116, 2012. View at Publisher · View at Google Scholar
  14. B. W. Silverman, Density Estimation for Statistics and Data Analysis, Monographs on Statistics and Applied Probability, Chapman and Hall, London, UK, 1986.
  15. S. E. Koonin and D. C. Meredith, Computational Physics, Addison-Wesley, 1990.
  16. Z. I. Botev, J. F. Grotowski, and D. P. Kroese, “Kernel density estimation via diffusion,” The Annals of Statistics, vol. 38, no. 5, pp. 2916–2957, 2010. View at Publisher · View at Google Scholar · View at Scopus