The maximum entropy method

  • Thomas H. Seligman
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 236)


Maximum Entropy Maximum Entropy Method Poisson Kernel Direct Part Monte Carlo Result 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    A. Katz, “Principles of Statistical Mechanics: Information Theory Approach” (Freeman, New York); P. Penrose, “Foundations of Statistical Mechanics” (Pergamon, Oxford 1970)Google Scholar
  2. 2.
    E.T. Jaynes, Phys. Rev. 106 (1957) 620; 108 (1957) 171Google Scholar
  3. 3.
    R.L. Stratonovich, Sov. Phys. JETP 1 (1955) 426Google Scholar
  4. 4.a
    Y. Alhassid and R.D. Levine, Phys. Rev. C20 (1979) 1775; Phys. Rev. A18 (1978) 89;R.D. Levine,J. Chem. Phys. 65 (1976) 3302; R.D. Levine and R.B. Bernstein, “Molecular Reaction Dynamics” (Clarendon, Oxford, 1974); R.D. Levine, R.B. Bernstein, P. Kahana, I. Procaccia and E.T. Upchurch, J. Chem. Phys. 64 (1976) 96Google Scholar
  5. 4.b
    Y. Alhassid, N. Aymon and R.D. Livine, Chem. Phys. Letts. 53 (1978) 22; J. Comput. Phys. 30 (1979) 250; I. Procaccia, Y. Shimoni and R.D. Levine, J. Chem. Phys. 65 (1976) 3284Google Scholar
  6. 4.c
    I. Procaccia and R.D. Levine, J. Chem. Phys. 64 (1976) 808Google Scholar
  7. 5.
    V.F. Turchin, V.P. Kozlov and M.S. Malkevich, Sov. Phys. Uspekhi 13 (1971) 681; V.F. Turchin and V.Z. Nozik, Akad. Nauk SSR Izvestia, Soc. Atmosphere and Ocean Phys. 5, 29 (1969)Google Scholar
  8. 6.
    P.A. Mello, P. Pereyra and T.H. Seligman, Ann. Phys. 161 (1985) 254Google Scholar
  9. 7.
    T.H. Seligman in “Stochastic Processes Applied to Physics and other Related Fields”, ed. B. Gómez et al. (World Scientific, Singapur 1983)Google Scholar
  10. 8.
    “The Maximum Entropy Formalism”, eds. R.D. Levine and M. Tribus, (MIT Press, Cambridge, Mass. 1978)Google Scholar
  11. 9.
    F. Hachenberg in Proceedings of the “Symposium on Perspectives in Electro-and Photo-Nuclear Physics” (Saclay, 1980); F. Hachenberg, Preprint (Heidelberg, 1981)Google Scholar
  12. 10.
    C.E. Shannon, Bell Syst. Tech. J, 27 (1948) 379; 27 (1948) 623Google Scholar
  13. 11.
    B. Lesche, Ph.D. Thesis, (Berlin, 1978)Google Scholar
  14. 12.
    B. Lesche, J. Stat. Phys. 27 (1982) 419Google Scholar
  15. 13.
    R.D. Levine, S.G. Steadman, J.S. Karp and Y. Alhassid, Phys. Rev. Letts. 41 (1978) 1537; Y. Alhassid, R.D. Levine, J S. Karp and S.G. Steadman, Phys. Rev. C20 (1979) 1789Google Scholar
  16. 14.
    T. Ericson, Ann. Phys. (N.Y.) 23 (1963) 390Google Scholar
  17. 15.
    P. Moldauer, e.g. Phys. Rev. C12 (1975) 244; “Statistical Theory of Neutron Nuclear Reactions”. Course ICTP (Trieste, 1978)Google Scholar
  18. 16.
    H.M. Hofmann, J. Richert, J.W. Tepel and H.A. Weidenmüller, Ann. Phys. (N.Y.) 90 (1975) 403Google Scholar
  19. 17.
    D. Agassi, H.A. Weidenmüller and G. Mantzouranis, Phys. Reports 22 (1975) 145Google Scholar
  20. 18.
    H.M. Hofmann, T. Mertelmeier, P.A. Mello and T.H. Seligman, Nucl. Phys. A372 (1981) 185Google Scholar
  21. 19.
    H. Hofmann (private communication)Google Scholar
  22. 20.
    F. Dyson, J. Math. Phys. 3 (1962) 140Google Scholar
  23. 21.
    L.K. Hua, “Harmonic Analysis of Functions of Several Complex Variables in the Classical Domains”, (Amer. Math. Soc., Providence, R.I., 1963) (Original Chinese Text: Science Press, Peking, 1958)Google Scholar
  24. 22.
    P.A. Mello, Phys. Lett. 81B (1979) 103Google Scholar
  25. 23.
    P.A. Mello and T.H. Seligman, Nucl. Phys. A344 (1980) 489Google Scholar
  26. 24.
    G. López, P.A. Mello and T.H. Seligman, Z. Phys. A302 (1981) 354Google Scholar
  27. 25.
    J. de los Reyes, P.A. Mello and T.H. Seligman, Z. Phys. A295 (1980) 247Google Scholar
  28. 26.
    P. Pereyra (private communication)Google Scholar
  29. 27.
    J.J.M. Verbaarschot, H.A. Weidenmüller and M. Zirnbauer, Preprint MPIHD 1985 (in press)Google Scholar
  30. 28.
    J.J.M. Verbaarschot, (in press)Google Scholar
  31. 29.
    K. Balian, J. Phys. Soc. Jap. 26 Supl. (1969) 30Google Scholar
  32. 30.
    M.C. Nemes and T.H. Seligman, Phys. Lett. 84B (1979) 13.Google Scholar

Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • Thomas H. Seligman
    • 1
  1. 1.Instituto de Fisica, Laboratorio de CuernavacaUniversidad Nacional Autónoma de MéxicoMéxicoMéxico

Personalised recommendations