HNC Theory for Shadow Wave Functions

  • A. Ferrante
  • M. Bernasconi
  • X. Q. G. Wang
  • S. Fantoni
  • E. Tosatti
Chapter

Abstract

The hyper-netted-chain theory is applied to the study of strongly interacting Bose and Fermi systems described by the shadow-correlated wave functions. A new class of shadow wave functions is also proposed which, in spite of their greater generality, requires a much simpler HNC scheme to compute distribution functions, density matrices and the energy expectation value. Moreover, HNC-theory allows for a full optimization of the correlations functions, particularly in the case of this new class of extended shadow wavefunctions. Possible applications of the shadow wave functions to the study of the Fractional Quantum Hall effect are also discussed.

Keywords

Wave Function Fermi System Cluster Expansion Real Particle Energy Expectation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    K. Schmidt, M.H. Kalos, M.A. Lee, G.V. Chester: Phys. Rev. Lett. 45, 573 (1980); Phys. Rev. Lett. 47, 807 (1981).ADSCrossRefGoogle Scholar
  2. [2]
    Q.N. Usmani, S. Fantoni, V.R. Pandharipande: Phys. Rev. B 26, 6123 (1982).ADSCrossRefGoogle Scholar
  3. [3]
    E. Manousakis, S. Fantoni, V.R. Pandharipande, Q.N. Usmani: Phys. Rev. B 28, 3770 (1983); M. Viviani, E. Buendia, S. Fantoni, S. Rosati: Phys. Rev. B 38, 4523 (1988).ADSCrossRefGoogle Scholar
  4. [4]
    M.H. Kalos, M.A. Lee, P.A. Whitlock, G.V. Chester: Phys. Rev. B 24, 115 (1981).ADSCrossRefGoogle Scholar
  5. [5]
    M.A. Lee, K.E. Schmidt, M.H. Kalos: Phys. Rev. Lett. 46, 728 (1981).ADSCrossRefGoogle Scholar
  6. [6]
    S. Vitiello, K. Runge, M.H. Kalos: Phys. Rev. Lett. 60, 1970 (1988).ADSCrossRefGoogle Scholar
  7. [7]
    L. Reatto, C.L. Masserini: Phys. Rev. B 38, 4516 (1988).ADSCrossRefGoogle Scholar
  8. [8]
    L. Reatto, contribution to this volume.Google Scholar
  9. [9]
    O. Gunnarson, B.I. Lundqvist: Phys. Rev. B 13, 4274 (1976).ADSCrossRefGoogle Scholar
  10. [10]
    S.A. Vitiello, K.J. Runge, G.V. Chester, M.H. Kalos: Phys. Rev. B 42, 228 (1990).ADSCrossRefGoogle Scholar
  11. [11]
    X. Q. Wang, S. Fantoni, E. Tosatti, L. Yu and M. Viviani: Phys. Rev. B 41, 11479 (1990).ADSCrossRefGoogle Scholar
  12. [12]
    L.J. Lantto, P.J. Siemens: Phys. Lett. B 68, 308 (1977).ADSCrossRefGoogle Scholar
  13. [13]
    S.M. Girvin: Phys. Rev. B 29, 6012 (1984).MathSciNetADSCrossRefGoogle Scholar
  14. [14]
    A.H. MacDonald, G.C. Aers, M.W.G. Dharma-wardana: Phys. Rev. B 31, 5529 (1985); A.H. Mac Donald, D.B. Murray: Phys. Rev. B 32, 2707 (1985).ADSCrossRefGoogle Scholar
  15. [15]
    J. W. Clark: in Progress in Particle and Nuclear Physics, edited by D. H. Wilkinson (Pergamon, Oxford, 1979), Vol 2.Google Scholar
  16. [16]
    A. Fabrocini and S. Fantoni: in First International Course on Condensed Matter, edited by D. Prosperi, S. Rosati and G. Violini (World Scientific, Singapore, 1986), ACIF series, Vol. 8.Google Scholar
  17. [17]
    J. P. Hansen, I. R. McDonald: Theory of Simple Liquids (2nd Ed., Academic Press, London, 1986).Google Scholar
  18. [18]
    A. Fabrocini, A. PoUs: Phys. Rev. B 25, 4533 (1982); Phys. Rev. B 30, 1200 (1984).ADSCrossRefGoogle Scholar
  19. [19]
    S. Fantoni, S. Rosati: Phys. Lett. B 84, 23 (1979).ADSCrossRefGoogle Scholar
  20. [20]
    F. Lado: Mol. Phys. 72, 1387 (1991).ADSCrossRefGoogle Scholar
  21. [21]
    J.P. Hansen, G. Zerah: J. Chem. Phys. 84, 2336 (1986).ADSCrossRefGoogle Scholar
  22. [22]
    Y. Rosenfeld, N.W. Ashcroft: Phys. Rev. A 20, 1208 (1979).ADSCrossRefGoogle Scholar
  23. [23]
    F. Lado: Phys. Rev. A 8, 2548 (1973).ADSCrossRefGoogle Scholar
  24. [24]
    S. Ichimaru, H. Iyetomi: Phys. Rev. A 27, 3241 (1983).ADSCrossRefGoogle Scholar
  25. [25]
    P. Ballone, G. Pastore, M. P. Tosi: J. Chem. Phys. 81, 3174 (1984).ADSCrossRefGoogle Scholar
  26. [26]
    A. Ferrante, private communication.Google Scholar
  27. [27]
    B.I. Halperin: Phys. Rev. Lett. 52, 1583, 2390 (1984).ADSCrossRefGoogle Scholar
  28. [28]
    R.B. Laughlin: Surf. Sci. 141, 11 (1984).Google Scholar
  29. [29]
    F.M.D. Haldane: Phys. Rev. Lett. 51, 605 (1983).MathSciNetADSCrossRefGoogle Scholar
  30. [30]
    R.B. Laughlin: Phys. Rev. Lett. 50, 1395 (1983).ADSCrossRefGoogle Scholar
  31. [31]
    F. Lado: Phys. Rev. B 17, 2827 (1978).ADSCrossRefGoogle Scholar
  32. [32]
    M. Bernasconi, private communication.Google Scholar
  33. [33]
    B. Blok, X.G. Wen: Phys. Rev. B 43, 8337 (1991).ADSCrossRefGoogle Scholar
  34. [34]
    C.D. Chen, E. Tosatti: Physica A 172, 336 (1991); G. Fano, F. Ortolani, E. Tosatti: IVuovo Cimento 9, 1337 (1987).ADSCrossRefGoogle Scholar
  35. [35]
    M. Greiter, X.G. Wen, F. Wilczek: Phys. Rev. Lett. 66, 3205 (1991).ADSCrossRefGoogle Scholar
  36. [36]
    S. Fantoni, S. Rosati: Nucl. Phys. A 328, 478 (1979).ADSCrossRefGoogle Scholar
  37. [37]
    E. Krotscheck: Nucl. Phys. A 465, 461 (1987).ADSCrossRefGoogle Scholar
  38. [38]
    G.P. Co’ et al., SISSA preprint (1991).Google Scholar
  39. [39]
    E. Krotscheck, G.X. Qian, W. Kohn: Phys. Rev. B 31, 4267 (1985); Phys. Rev. B 32, 5693 (1985).ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1992

Authors and Affiliations

  • A. Ferrante
    • 1
  • M. Bernasconi
    • 1
  • X. Q. G. Wang
    • 1
  • S. Fantoni
    • 1
    • 3
  • E. Tosatti
    • 1
    • 2
  1. 1.International School for Advanced StudiesTriesteItaly
  2. 2.International Centre for Theoretical PhysicsTriesteItaly
  3. 3.Istituto Nazionale di Fisica NucleareSezione di TriesteItaly

Personalised recommendations