Skip to main content

Further Insights Derived Via Quantal Density Functional Theory

  • Chapter
Quantal Density Functional Theory
  • 563 Accesses

Abstract

In this chapter we explain insights arrived at via Quantal density functional theory (Q-DFT) of two popular approximation schemes within the framework of local effective potential energy theory. The first of these is the local density approximation (LDA) for ‘exchange’ [1] and ‘exchange-correlation’ [2] as applied within Kohn-Sham (KS) density functional theory [3]. The second is Slater theory [4] for ‘exchange’, the LDA within its context [4], and the Slater Xcti approximation scheme [5] to incorporate Coulomb correlations. The LDA and Slater theory are both ad hoc formulations.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 109.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 139.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. P.A.M. Dirac, Proc. Camb. Phil. Soc. 26 376 (1930); R. Gdspâr, Acta. Phys. Acad. Sci. Hung 3,263 (1954) (Original publication in German), J. Mol. Struct. (Theochem) 501, 1 (2000)(English translation)

    Google Scholar 

  2. P. Hohenberg and W. Kohn, Phys, Rev. 136, B864 (1964)

    Google Scholar 

  3. W. Kohn and L.J. Sham, Phys. Rev. 140, A1133 (1965)

    Article  MathSciNet  ADS  Google Scholar 

  4. J.C. Slater, Phys. Rev. 81, 385 (1951)

    Article  ADS  MATH  Google Scholar 

  5. J.C. Slater, T.M. Wilson, and J.H. Wood, Phys. Rev. 179, 28 (1969)

    Article  ADS  Google Scholar 

  6. V. Sahni, in Density Functional Theory, Vol. 337 of NATO Advanced Study Institute, Series B: Physics, edited by E.K.U. Gross and R.M. Dreizier ( Plenum, New York, 1995 )

    Google Scholar 

  7. V Sahni in Recent Advances in Density Functional Methods, Part I,edited by D.P. Chong (World Scientific, 1995)

    Google Scholar 

  8. V. Sahni and M Slamet, Phys. Rev. B 48, 1910 (1993)

    Article  ADS  Google Scholar 

  9. M. Slamet and V. Sahni, Phys. Rev. B 45, 4013 (1992)

    Article  ADS  Google Scholar 

  10. M.K. Harbola and V. Sahni, Phys. Rev. Lett. 62, 489 (1989)

    Google Scholar 

  11. V. Sahni and M.K. Harbola, Int. J. Quantum Chem. 24, 569 (1990)

    Article  Google Scholar 

  12. M.K. Harbola and V. Sahni, J. Chem. Ed. 70, 920 (1993)

    Google Scholar 

  13. S. Raimes, The Wave Mechanics of Electrons in Metals ( North Holland Publishing Company, Amsterdam 1961 )

    Google Scholar 

  14. D.A. Kirzhnits, Field Theoretical Methods in Many—Body Systems ( Pergamon, London 1967 )

    Google Scholar 

  15. R.M. Dreizier and E.K.U. Gross, Density Functional Theory ( Springer-Verlag, Berlin 1990 )

    Book  Google Scholar 

  16. Y. Wang, J.P. Perdew, J.A. Chevary, L.H. MacDonald, and S.H. Vosko, Phys. Rev. A 41, 78 (1990)

    Article  ADS  Google Scholar 

  17. M. Slamet and V. Sahni, Int J. Quantum Chem. Symp. 26, 333 (1992)

    Article  Google Scholar 

  18. O. Gunnarsson, M. Jonson, and B.I. Lundqvist, Solid State Commun. 24, 756 (1977); Phys. Rev. B 20, 3136 (1979)

    Article  Google Scholar 

  19. V. Sahni, K.P. Bohnen, and M.K. Harbola, Phys. Rev. A 37, 1895 (1988)

    Article  ADS  Google Scholar 

  20. V. Sahni, Y. Li, and M.K. Harbola, Phys. Rev. A 45, 1434 (1992)

    Article  ADS  Google Scholar 

  21. C.F. Fischer, The Hartree-Fock Method for Atoms ( Wiley, New York 1977 )

    Google Scholar 

  22. V. Sahni, Surf. Sci. 213, 226 (1989)

    Article  ADS  Google Scholar 

  23. V Sahni (unpublished)

    Google Scholar 

  24. Z. Qian and V. Sahni, Int J. Quantum Chem. 70, 671 (1998)

    Article  Google Scholar 

  25. Z. Qian and V. Sahni, Phys. Rev. B 66, 205 103 (2002)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Sahni, V. (2004). Further Insights Derived Via Quantal Density Functional Theory. In: Quantal Density Functional Theory. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-09624-6_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-09624-6_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07419-6

  • Online ISBN: 978-3-662-09624-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics