Abstract
In Chap. 4 we discussed various methods used by quantum chemists to describe electron correlations in molecules. These methods, though, cannot be carried over to infinite systems, i.e., solids, a fact immediately obvious for methods that use canonical MOs. Since the canonical MOs extend over the whole molecule, one would have to deal with an increasing number of them as the system increases in size. This limitation also holds true for finite or infinite periodic lattices. Physically, one would expect, however, the description of the (local) correlation hole of an electron to be no more difficult in a solid than in a molecule.
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.
Chapter 5
G. Stollhoff, P. Fulde: J. Chem. Phys. 73, 4548 (1980) and earlier references cited there
K. Becker, P. Fulde: J. Chem. Phys. 91, 4223 (1989)
P.O. Löwdin: In Supercomputer Simulations in Chemistry, ed. by M. Dupuis, Lect. Notes Chem., Vol. 44 (Springer, Berlin, Heidelberg 1986)
J. Lievin, J. Breulet, G. Verhaegen: Theor. Chim. Acta 60, 339 (1981)
R. Kubo: J. Phys. Soc. Jpn. 17, 1100 (1962)
J. Goldstone: Proc. R. Soc. London A 239, 267 (1957)
R. Zwanzig: In Lectures in Theoretical Physics, Vol. 3 (Interscience, New York 1961)
H. Mori: Prog. Theor. Phys. 33, 423 (1965)
G.A. Baker: Adv. Theor. Phys. 1, 1 (1965)
E. Fick, G. Sauermann: The Quantum Statistics of Dynamic Processes, Springer Ser. Solid-State Sci., Vol. 86 (Springer, Berlin, Heidelberg 1990)
D. Forster: Hydrodynamic Fluctuations, Broken Symmetry, and Correlation Functions (Benjamin, Reading, MA 1975)
M. Chaumet, P. Fulde: J. Chem. Phys. (in press)
R. Jastrow: Phys. Rev. 98, 1479 (1955)
J.W. Clark: In Progress in Particle and Nuclear Physics Vol. 2, ed. by D. Wilkinson (Pergamon, Oxford 1979)
J.G. Zabolitzky: In Advances in Nuclear Physics, Vol. 12, ed. by W. Negele, E. Vogt (Plenum, New York 1981)
V.R. Pandharipande, R.B. Wiringa: Rev. Mod. Phys. 51, 821 (1979)
S. Fahy, X.W. Wang, S.G. Louie: Phys. Rev. Lett. 61, 1631 (1988)
L. Pauling: The Nature of the Chemical Bond and the Structure of Molecules and Crystals, 3rd edn. (Cornell University Press, Ithaca, NY 1960)
P.O. Löwdin: Ark. Mat. Astron. Fys. 30, 1 (1948); J. Chem. Phys. 18, 365 (1950)
J. Lievin, J. Breulet, P. Clercq, J.Y. Metz: Theor. Chim. Acta 61, 512 (1982)
G. Verhaegen, C.M. Moser: J. Phys. B 3, 478 (1970)
P.G. Declaux, C.M. Moser, G. Verhaegen: J. Phys. B 4, 296 (1971)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer-Verlag in Berlin Heidelberg
About this chapter
Cite this chapter
Fulde, P. (1991). The Projection Technique and Use of Local Operators. In: Electron Correlations in Molecules and Solids. Springer Series in Solid-State Sciences, vol 100. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-97309-3_5
Download citation
DOI: https://doi.org/10.1007/978-3-642-97309-3_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-97311-6
Online ISBN: 978-3-642-97309-3
eBook Packages: Springer Book Archive