Abstract
In spite of the impressive recent developments in computational facilities and of the extended use of computer in the treatment of quantum mechanical many body problems, the solution of Schrödinger’s equation for large systems containing hundreds of electrons and nuclei, still remains an almost impossible task. Such systems, however, do not represent exceptional examples but they correspond, rather, to everyday situations arising in solid state physics, material science, catalysis, molecular biology, etc.
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
J. Keller and J.L. Gázquez, eds., Density Functional Theory, Springer-Verlag Lecture Notes in Physics N°187, Berlin (1983).
J.P. Dahl and J. Avery, eds., Local Density Approximations in Quantum Chemistry and Solid State Physics, Plenum, New York (1984).
S. Lundqvist and N.H. March, eds., Theory of the Inhomogeneous Electron Gas, Plenum, New York (1983).
R.M. Dreizler and J. da Providencia, eds., Density Functional Methods in Physics, Plenum, New York (1985).
R.M. Erdahl and V.H. Smith, eds., Density Matrices and Density Functionals, Reidel, Dordrecht (in press).
P. Hohenberg and W. Kohn, Phys. Rev. 136:B864 (1964)
W. Kohn and L.J. Sham, Phys. Rev., 140:A1133 (1965).
M. Levy, Proc. Natl. Acad. Sci. USA, 76:6062 (1975).
E.H. Lieb, Int. J. Quantum Chem. 24:243 (1983).
W. Kohn and P. Vashishta, in Reference 3, p. 79.
E.H. Lieb, Rev. Mod. Phys. 53:603 (1981).
N.H. March, in Reference 3, p. 1.
R.G. Parr, Ann, Rev. Phys. Chem. 34:631 (1983).
E.V. Ludñna, in Recent Progress in Many Body Theories, H. Kümmel and M.L. Ristig, eds., Springer-Verlag, Lecture Notes in Physics, N°198, Berlin (1984), p. 370.
E.V. Ludeña, in Condensed Matter Theories. I., F.B. Malik, ed., Plenum, New York (in press).
Y. Tal and R.F.W. Bader, Int. J. Quantum Chem. Symp. 12, 153 (1978).
D.C. Langreth and M.J. Mehl, Phys. Rev. B 28:1809 (1983).
S. Vosko and L.D. MacDonald, A New Generalized Gradient Expansion for Exchange Only from Atomic Exchange Energies (this issue).
J.P. Perdew, On the Density-Gradient Expansions for the Electronic Exchange and Correlation Energies (this issue).
E.V. Ludeña, J. Chem. Phys. 76:3157 (1982).
E.V. Ludeña, J. Chem. Phys. 79:6174 (1983).
E.V. Ludeña, in Reference 2, p. 287.
A. Sierraalta and E.V. Ludeña, Int. J. Quantum Chem. (in press).
M. Levy, J.P. Perdew and V. Sahni, Phys. Rev. A 30:2475 (1984).
I. Zh. Petkov, M.V. Stoitsov and E.S. Kryachko, Int. J. Quantum Chem. 29:149 (1986).
E.S. Kryachko and E.V. Ludeña, Many-Electron Energy Density Functional Theory. I. Point-Transformations and One-Electron Densities (to be published).
C.F. von Weizsacker, Z. Phyzik 96:431 (1935).
E. Clementi and C. Roetti, At. Data Nucl. Data Tables 14:177(1974).
A. Bunge and R.D. Esquivel (to be published).
J.E. Harriman, Phys. Rev. A 24:680 (1981).
N.H. March and W.H. Young, Proc. Phys. Soc. London 72:182 (1958).
W. Macke, Phys. Rev. 100:992 (1955)
W. Macke, Ann. Phys. 17:1 (1955).
J.K. Percus, Int. J. Quantum Chem. 13:89 (1978).
G. Zumbach and K. Maschke, Phys. Rev. A 28:544 (1983)
G. Zumbach and K. Maschke, Phys. Rev. A 29:1585(E) (1984).
S.R. Gosh and R.G. Parr, J. Chem. Phys. 82:3307 (1985).
O. Goscinski and V. Mujica, in Reference 5 (in press)
O. Goscinski and A. Palma, Int. J. Quantum Chem. 15:197 (1979).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1987 Plenum Press, New York
About this chapter
Cite this chapter
Ludeña, E.V., Sierraalta, A., Kryachko, E.S., Hernández, A. (1987). Non-Local Correlation and Point Transformations in Density Functional Theory. In: Vashishta, P., Kalia, R.K., Bishop, R.F. (eds) Condensed Matter Theories. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0917-8_14
Download citation
DOI: https://doi.org/10.1007/978-1-4613-0917-8_14
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4612-8244-0
Online ISBN: 978-1-4613-0917-8
eBook Packages: Springer Book Archive