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Pairing, gap equations, and instabilities

  • II. Theoretical Approaches for Ordered Systems
  • Conference paper
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Recent Advances in the Quantum Theory of Polymers

Part of the book series: Lecture Notes in Physics ((LNP,volume 113))

Abstract

The connections between the concepts of pairing — determined variationally by a gap equation — and instabilities in the restricted Hartree-Fock scheme are examined within a unified scheme. The special cases alternant molecular orbitals and charge density waves are discussed separately.

Supported by the Swedish Natural Sciences Research Council

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References

  1. A.A. Ovchinnikov, J.J. Ukrainskii, G.V. Kventsel, Soviet Phys. Uspekhi 15, 575 (1973).

    Google Scholar 

  2. B.H. Brandow, Adv. Phys. 26, 651 (1977).

    Google Scholar 

  3. P-O Löwdin, Symp. on Mol. Phys. held at Nikko, Sep. 1953; Maruzen, Tokyo 1954, p. 13.

    Google Scholar 

  4. For a survey see R. Pauncz, “The Alternant Molecular Orbital Method”, W.B. Saunders Book Co., Philadelphia and London 1967.

    Google Scholar 

  5. A.W. Overhauser, Phys. Rev. Lett. 4, 462 (1960).

    Google Scholar 

  6. A.W. Overhauser, Phys. Rev. 167, 691 (1968).

    Google Scholar 

  7. A.W. Overhauser, Adv. Phys. 27, 343 (1978).

    Google Scholar 

  8. J.C. Slater, Phys. Rev. 35, 509 (1930).

    Google Scholar 

  9. C.A. Coulson, I. Fischer, Phil. Mag. 40, 386 (1949).

    Google Scholar 

  10. D.J. Thouless, “The Quantum Mechanics of Many Body Systems” (Academic Press, New York 1961).

    Google Scholar 

  11. W.H. Adams, Phys. Rev. 127, 1650 (1962).

    Google Scholar 

  12. J. Cizek and J. Paldus, J. Chem. Phys. 47, 3976 (1967).

    Google Scholar 

  13. J. Paldus and J. Cizek, Progr. Theor. Phys. 42, 769 (1969).

    Google Scholar 

  14. J. Paldus and J. Cizek, J. Chem. Phys. 52, 2919 (1970).

    Google Scholar 

  15. J. Cizek and J. Paldus, J. Chem. Phys. 53, 821 (1970).

    Google Scholar 

  16. J. Paldus and J. Cizek, Proc. Int. Conf. on Organic Superconductors (J. Polym. Sci. C 29), W.A. Little, Ed. (Wiley-Interscience, New York 1970), p. 199.

    Google Scholar 

  17. J. Paldus and J. Cizek, J. Chem. Phys. 54, 2293 (1971).

    Google Scholar 

  18. J. Paldus, J. Cizek and B.A. Keating, Phys. Rev. A8, 640 (1973).

    Google Scholar 

  19. A. Laforgue, J. Cizek and J. Paldus, J. Chem. Phys. 59, 2560 (1973).

    Google Scholar 

  20. W.G. Laidlaw, Int. J. Quantum Chem. 7, 87 (1973).

    Google Scholar 

  21. J. Paldus and A. Veillard, Mol. Phys. 35, 445 (1978).

    Google Scholar 

  22. H. Fukutome, Progr. Theor. Phys. 40, 998, 1227 (1968).

    Google Scholar 

  23. H. Fukutome, Progr. Theor. Phys. 45, 1382 (1971).

    Google Scholar 

  24. H. Fukutome, Progr. Theor. Phys. 52, 115 (1974).

    Google Scholar 

  25. H. Fukutome, Progr. Theor. Phys. 52, 1766 (1974).

    Google Scholar 

  26. H. Fukutome, Progr. Theor. Phys. 53, 1320 (1975).

    Google Scholar 

  27. P-O Löwdin, J-L Calais and J. Calazans, Techn. Report No. 517, Quantum Chemistry Group, Uppsala, Sweden (1977).

    Google Scholar 

  28. P-O Löwdin, Rev. Mod. Phys. 35, 496 (1963).

    Google Scholar 

  29. P-O Löwdin, Adv. Chem. Phys. 14, 283 (1969).

    Google Scholar 

  30. J-L Calais, Int. J. Quantum Chem. Symp. 11, 547 (1977).

    Google Scholar 

  31. M.C. Zerner and P. Corrêa de Mello (private communication).

    Google Scholar 

  32. J-L Calais and G. Sperber, Int. J. Quantum Chem. 7, 501 (1973).

    Google Scholar 

  33. W.H. Adams, J. Chem. Phys. 39, 23 (1963).

    Google Scholar 

  34. B. Johansson and K-F Berggren, Phys. Rev. 181, 855 (1969).

    Google Scholar 

  35. K-F Berggren and B. Johansson, Int. J. Quantum Chem. 2, 483 (1968).

    Google Scholar 

  36. K-F Berggren and F. Martino, Phys. Rev. 184, 484 (1969).

    Google Scholar 

  37. J-L Calais, Ann. Soc. Sci. Bruxelles 0, 000 (1979).

    Google Scholar 

  38. E.H. Lieb and F.Y. Wu. Phys. Rev. Lett. 20, 1445 (1968).

    Google Scholar 

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Authors and Affiliations

  1. Quantum Chemistry Group, Box 518, S-751 20, Uppsala, Sweden

    Jean-Louis Calais

Authors
  1. Jean-Louis Calais
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Editor information

Jean Marie André Jean-Luc Bredas Joseph Delhalle Janos Ladik Georges Leroy Carl Moser

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© 1980 Springer-Verlag

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Calais, JL. (1980). Pairing, gap equations, and instabilities. In: André, J.M., Bredas, JL., Delhalle, J., Ladik, J., Leroy, G., Moser, C. (eds) Recent Advances in the Quantum Theory of Polymers. Lecture Notes in Physics, vol 113. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3540097317_81

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  • DOI: https://doi.org/10.1007/3540097317_81

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09731-0

  • Online ISBN: 978-3-540-38542-4

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