Finite Temperature Correlated Mean Field Treatments and Information Theory

  • R. Rossignoli
  • A. Plastino
Part of the Condensed Matter Theories book series (COMT, volume 7)


A general self-consistent scheme for approximating statistical operators is discussed within the context of Information Theory. As an application, a special correlated finite temperature mean field approximation is derived and applied to many-fermion systems. A substantial improvement over conventional approaches such as finite temperature Hartree-Fock and finite temperature BCS is obtained in finite systems.


Entropy Covariance Argentina 2oNe Aires 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    D.J. Thouless, The Quantum Mechanics of Many Body Systems (Academic, New York, 1972).Google Scholar
  2. [2]
    A.L. Goodman, Nucl. Phys. A352 (1981) 30; A352 (1981) 45.Google Scholar
  3. [3]
    P. Ring, L. Robledo, J.L. Egido and M. Faber, Nucl. Phys. A419 (1984) 261;ADSGoogle Scholar
  4. J.L. Egido, P. Ring and H.J. Mang, Nucl.Phys. A451 (1986) 77.ADSGoogle Scholar
  5. [4]
    H.G. Miller, R.M. Quick and B.J. Cole, Phys.Rev. C39 (1989) 1599.ADSGoogle Scholar
  6. [5]
    R. Rossignoli, and A. Plastino, Phys. Rev. C32 (1985) 1040.ADSGoogle Scholar
  7. [6]
    R. Rossignoli, A. Plastino and J. Vary, Phys. Rev. C37 (1988) 314.ADSGoogle Scholar
  8. [7]
    R. Rossignoli, and A. Plastino, Phys. Rev. C40 (1989) 1798.ADSGoogle Scholar
  9. [8]
    R. Rossignoli, and A. Plastino, Phys. Rev. A42 (1990) 2065.ADSGoogle Scholar
  10. [9]
    E.T. Jaynes, Phys. Rev 106 (1957) 620; 108 (1957) 171.Google Scholar
  11. [10]
    R. Balian, Y. Alhassid and H. Reinhardt, Phys.Rep. 131 (1986) 1.MathSciNetADSCrossRefGoogle Scholar
  12. [11]
    R. Balian and M. Veneroni, Ann. of Phys. 164 (1985) 334; 174 (1987) 229.Google Scholar
  13. [12]
    R. Rossignoli, H.G. Miller and A. Plastino, Phys. Rev. C42 (1991) 314; Journal of Physics G, (1991), (in press).Google Scholar
  14. [13]
    R. Rossignoli, Nucl. Phys. A (1991) (in press).Google Scholar
  15. [14]
    R. Rossignoli, R.M. Quick and H.G. Miller, to be published.Google Scholar
  16. [15]
    R. Kubo, J. Phys. Soc. Jpn. 12 (1957) 570; Rep. Pogr. Phys. 29 (1966) 225.Google Scholar
  17. [16]
    P. Ring and P. Schuck, The Nuclear Many Body Problem (Springer-Verlag, New York, 1980).CrossRefGoogle Scholar
  18. [17]
    H. Reinhardt, R. Balian and Y. Alhassid, Nucl. Phys. A422 (1984) 349.MathSciNetADSGoogle Scholar
  19. [18]
    M.C. Cambiaggio and A. Plastino, Zeit. Phys. A288 (1978) 153.ADSGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1992

Authors and Affiliations

  • R. Rossignoli
    • 1
  • A. Plastino
    • 1
  1. 1.Departamento de FísicaUniversidad Nacional de La PlataLa PlataArgentina

Personalised recommendations