Abstract
The physics of many interacting particles is notoriously difficult. The attraction of density functional theory is that it facilitates approximate calculations on many-body systems without requiring the construction of many-body wavefunctions or their equivalent. Instead one extracts the needed information from a one-body quantity, the number density. While density functional methods can be applied to many systems such as classical fluids, nuclei and thermal ensembles, this book is principally devoted to quantum states of many-electron systems. All of the articles are relevant to quantum chemistry and/or condensed matter physics.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
L. H. Thomas, Proc. Cambridge Phil. Soc. 23, 542 (1927).
E. Fermi, Z. Phys. 48, 73 (1928).
P. A. M. Dirac, Proc. Cambridge Phil. Soc. 26, 376 (1930).
J. C. Slater, The Self-Consistent Field for Molecules and Solids (McGraw-Hill, New York, 1974), Vol. IV.
P. Hohenberg and W. Kohn, Phys. Rev. 136, B864 (1964).
M. Levy, Proc. Natl. Acad. Sci. USA 76, 6062 (1979).
R. G. Parr and W. Yang, Density Functional Theory of Atoms and Molecules (Clarendon Press, Oxford, 1989).
W. Kohn and L. J. Sham, Phys. Rev. 140, A1133 (1965).
R. M. Dreizler and E. K. U. Gross, Density Functional Theory (Springer Verlag, Berlin, 1990).
A. S. Davydov, Quantum Mechanics (Pergamon Press, Oxford, 1965).
G. D. Mahan, Many-Particle Physics (Plenum, New York, 1981).
E. Wigner, Phys. Rev. 46, 1002 (1934).
D. M. Ceperley and B. J. Alder, Phys. Rev. Lett. 45, 566 (1980).
S. Vosko, Wilk, and Nusair, Can. J. Phys. 58, 1200 (1980).
R. O. Jones and O. Gunnarsson, Rev. Mod. Phys. 61, 689 (1989).
U. V. Barth and L. Hedin, J. Phys. C 5, 1629 (1972).
M. M. Pant and A. K. Rajagopal, Sol. State Commun. 10, 1157 (1972).
J. F. Janak, Phys. Rev. B 18, 7165 (1978).
see also J. Callaway and N. H. March, Solid State Physics 38, 135 (1984), especially p. 169-170.
J. P. Perdew, R. G. Parr, M. Levy, and J. L. Balduz, Phys. Rev. Lett. 49, 1691 (1982).
J. P. Perdew and M. Levy, Phys. Rev. Lett. 51, 1884 (1983).
L. J. Sham and M. Schluter, Phys. Rev. Lett. 51, 1888 (1983).
W. Kohn, Phys. Rev. B 33, 4331 (1986
M. S. Hybertson and S. G. Louie, Phys. Rev. B 34, 5390 (1986).
G. Vignale and M. Rasolt, Phys. Rev. B 37, 10658 (1988).
D. C. Langreth and J. P. Perdew, Sol. State Commun. 17, 1425 (1975).
O. unnarsson and B. I. Lundqvist, Phys. Rev. B 13, 4274 (1976).
K. Burke, J. P. Perdew, and D. C. Langreth, Phys. Rev. Lett. 73, 1283 (1994).
J. P. Perdew, M. Ernzerhof, K. Burke, and A. Savin, Int. J. Quantum Chem. 61, 197 (1997).
M. Rasolt and D. J. W. Geldart, Phys. Rev. B 34, 1325 (1986).
D. Langreth and J. Perdew, Solid State Commun. 31, 567 (1979).
J. Perdew, Phys. Rev. Lett. 55, 1665 (1985).
J. P. Perdew, Phys. Rev. Lett. 55, 2370 (E) (1995).
J. Perdew and Y. Wang, Phys. Rev. B 33, 8800 (1986).
J. P. Perdew et al. Phys. Rev. B 46, 6671 (1992).
J. P. Perdew, in Electronic Structure of Solids’ 91, edited by P. Ziesche and H. Eschrig (Akademie Verlag, Berlin, 1991).
J. P. Perdew, K. Burke, and M. Ernzerhof, Phys. Rev. Lett. 77, 3865 (1996).
A. D. Becke, Phys. Rev. A 38, 3098 (1988).
A. D. Becke and M. R. Roussel, Phys. Rev. A 39, 3761 (1989).
A. D. Becke, J. Chem. Phys. 88, 1053 (1987).
R. Colle and O. Salvetti, Theor. Chim. Acta 37, 329 (1975).
R. Colle and O. Salvetti, Theor. Chim. Acta 53, 55 (1979).
C. Lee, W. Yang, and R. G. Parr, Phys. Rev. B 37, 785 (1988).
A. D. Becke, J. Chem. Phys. 98, 5648 (1993).
W. Kohn and W. Hanke, private communication.
M. Levy, Adv. Quantum Chem. 21, 69 (1990).
M. Levy and J. Perdew, Int. J. Quantum. Chem. 49, 539 (1994).
A. Görling and M. Levy, Phys. Rev. B 47, 13105 (1993).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1998 Springer Science+Business Media New York
About this chapter
Cite this chapter
Dobson, J.F., Das, M.P. (1998). Brief Introduction to Density Functional Theory. In: Dobson, J.F., Vignale, G., Das, M.P. (eds) Electronic Density Functional Theory. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-0316-7_1
Download citation
DOI: https://doi.org/10.1007/978-1-4899-0316-7_1
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4899-0318-1
Online ISBN: 978-1-4899-0316-7
eBook Packages: Springer Book Archive