Abstract
In this article I discuss some aspects of what is known about correlated electronic wavefunctions, in particular what has been learned from quantum Monte Carlo studies of the homogeneous electron gas. First, I motivate the discussion, then briefly give references to the quantum Monte Carlo methods, discuss the pair product wavefunction and its generalization to backflow and three body wavefunctions. Finally, I conclude with some current difficulties in extending these ideas to electrons in an external potential.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Feynman, R. P., Int. J. Theo. Phys. 21, 467 (1985).
Gaskell, T., Proc. Phys. Soc. 77, 1182 (1961); 80, 1091 (1962).
Ceperley, D., Phys. Rev. 18, 3126 (1978).
Ceperley, D., Chester, G. V. and Kalos, M. H., Phys. Rev. B16, 3081 (1977).
Ceperley, D. M. and B. J. Alder, Phys. Rev. Letts. 45, 566 (1980).
Alder, B. J., Ceperley, D. M. and E. L. Pollock, Int. Journ. Quant. Chem. 16, 49 (1982).
Tanatar, B. and D. M. Ceperley, Phys. Rev. B39, 5005 (1989).
Vitiello, S. A., K. J. Runge and M. H. Kalos, Phys. Rev. Lett. 60, 1970 (1988).
Li. X.-P., R. J. Needs, R. M. Martin and D. M. Ceperley, Phys. Rev. B45, 6124 (1992).
Moroni, S., D. M. Ceperley, and G. Senatore, Phys. Rev. Letts. 75, 689 (1995).
Acioli, P. H. and D. M. Ceperley, Phys. Rev. B54, 17199 (1996).
Jones, M. D. and D. M. Ceperley, Phys. Rev. Letts. 76, 4572 (1996).
Kwon, Y., D. M. Ceperley, and R. M. Martin, Phys. Rev. B48,12037 (1993).
Kwon, Y., D. M. Ceperley, and R. M. Martin, Phys. Rev. B58,6800 (1998).
Ortiz, G. and P. Ballone, Phys. Rev. B50, 1391 (1994); 56, 9970 (1997).
D. P. Young et al., Nature, Jan. (1999).
Yoon, J., C. C. Li, D. Shar, D. C. Tsui and M. Shayegan, preprintxxx.lanl.gov. cond-mat/9807235.
Kwon, Y., D. M. Ceperley, and R. M. Martin, Phys. Rev. B50,1694 (1994).
Pollock, E. L. and D. M. Ceperley, Phys. Rev. B30, 2555 (1984).
Filippi, C. and C. J. Umrigar, J. Chem. Phys. 105, 213 (1996).
Flad, H. J., M. Caffarel and A. Savin, inRecent Advances in Quantum Monte Carlo Methodsed. W. A. Lester Jr., World Scientfic, (1997).
Moroni, S., S. Fantoni and G. Senatore, Phys. Rev. B 52, 13547 (1995).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer Science+Business Media New York
About this chapter
Cite this chapter
Ceperley, D.M. (1999). Understanding Electronic Wave Functions. In: Gonis, A., Kioussis, N., Ciftan, M. (eds) Electron Correlations and Materials Properties. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-4715-0_25
Download citation
DOI: https://doi.org/10.1007/978-1-4615-4715-0_25
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-7136-6
Online ISBN: 978-1-4615-4715-0
eBook Packages: Springer Book Archive