Elsevier

Nuclear Physics A

Volume 435, Issue 2, 11 March 1985, Pages 569-596
Nuclear Physics A

Thermal expectation values and fluctuations in a temperature-dependent mean-field approach

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Abstract

Thermodynamic expectation values of many-body nuclear observables and their thermodynamic quantum fluctuations are considered within the framework of functional integration. We propose two quantization procedures through saddle-point approximations to a functional integral representation of the thermodynamic generating function. The first method, referred to as derivation after variation, leads to the well-known temperature-dependent Hartree-Fock approximation. In addition, the resulting mean-field description of thermodynamic quadratic fluctuations includes the contribution of the collective phonons of the corresponding temperature-dependent RPA. The second method is referred to as variation after derivation, and reproduces in a more general framework the results of ref.8). In contrast to derivation after variation, the mean-field approach depends upon the observable being measured. We illustrate numerically these two methods by considering a shell-model hamiltonian.

References (11)

  • H. Reinhardt

    Nucl. Phys.

    (1980)
    S. Levit et al.

    Phys. Rev.

    (1980)
    J.P. Blaizot et al.

    J. de Phys. Lett.

    (1980)
  • A.K. Kerman et al.

    Ann. of Phys.

    (1983)
    A.K. Kerman et al.

    Ann. of Phys.

    (1984)
  • J.W. Negele

    Rev. Mod. Phys.

    (1982)
  • T. Troudet, Phys. Rev. C,...
  • T. Troudet et al.

    Phys. Rev.

    (1983)
    T. Troudet et al.

    Ann. of Phys.

    (1984)
There are more references available in the full text version of this article.

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Laboratoire associé au CNRS.

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