Abstract
It is stressed that the conceptual crisis due to duality in the origin of quantum chemistry can be naturally resolved in terms of the energy density functional theory. The requirements imposed for formulating the density-functional ground-state variational principle within the Schrödinger picture of quantum mechanics are discussed. The rigorous construction of the energy density functional theory of many-electron systems, based on the concept of local-scaling transformations, is proposed.
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
Daudel R (1980) In: Becker P (ed) Electron and magnetization densities in molecules and crystals. Plenum, New York
Bader RPW, Tal Y, Anderson SG, Nguyen-Dang TT (1980) Isr J Chem 19:8
Cremer D, Kraka E (1984) Croat Chem Acta 57:1259
Primas H (1967) Int J Quantum Chem 1:493
Smith VH Jr (1977) Phys Scr 15:147
Ghosh SK, Deb BM (1982) Phys Rep 92:1
Deb BM (1984) Proc Indian Acad Sci (Chem Sci) 93:965
Chattaraj PK, Deb BM (1984) J Sci Ind Res 43:238
Lieb EH (1981) Phys Rev Lett 46:457, 47:69 (E)
Lieb EH (1983) Int J Quantum Chem 24:243
Parr RG, Donnelly RA, Levy M, Palke WE (1978) J Chem Phys 68: 3801
Nguyen-Dang TT, Bader RPW, Essén H (1982) Int J Quantum Chem 22:1049
Sabin JR, Trickey SB (1984) In: Dahl JP, Avery J (eds) Local density approximations in quantum chemistry and solid state physics. Plenum, New York
Gombás P (1949) Die statistische theorie des atoms und ihre anwendungen, Springer, Wien
Katriel J, Nyden MR (1981) J Chem Phys 74:1221
Petkov IZ, Stoitsov MV, Kryachko ES (1986) Int J Quantum Chem 29:149
Kryachko ES, Ludeña EV (1987) Phys Rev A 35:957
Kryachko ES, Petkov IZ, Stoitsov MV (1987) Int J Quantum Chem 32:467
Kryachko ES, Petkov IZ, Stoitsov MV (1987) Int J Quantum Chem 32:473
Kryachko ES (1988) In: Arponen J, Bishop RP, Pajanne E (1988) Condensed matter theories, vol 3. Plenum, London
Kryachko ES, Ludena EV (1988) The energy density functional theory of many-electron systems, Reidei, Dordrecht
Politzer P (1980) J Chem Phys 72:3027
Kventsel GP, Katriel J (1981) Phys Rev A 24:2299
March NH (1985) J Math Phys 26:554
Vilenkin NY (1965) Special functions and theory of group representations, Nauka, Moscow
McWeeny R, Sutcliffe BT (1969) Methods of molecular quantum mechanics, Academic, London
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1989 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Kryachko, E.S. (1989). Modern Developments in the Energy Density Functional Theory of Many-Electron Systems. In: Mukherjee, D. (eds) Aspects of Many-Body Effects in Molecules and Extended Systems. Lecture Notes in Chemistry, vol 50. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61330-2_28
Download citation
DOI: https://doi.org/10.1007/978-3-642-61330-2_28
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-50765-9
Online ISBN: 978-3-642-61330-2
eBook Packages: Springer Book Archive