Concavity Theorems for Energy Surfaces

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Giraud, B. G.; Karataglidis, S.;
  • Subject: Nuclear Theory | Mathematical Physics

Concavity properties prevent the existence of significant landscapes in energy surfaces obtained by strict constrained energy minimizations. The inherent contradiction is due to fluctuations of collective coordinates. A solution to those fluctuations is given.
  • References (8)

    [1] A. Bohr and B. Mottelson, Nuclear Structure (World Scientific, 1998).

    [2] J. R. Nix and W. J. Swiatecki, Nucl. Phys. 71, 1 (1964) .

    [3] B. R. Barrett, B. G. Giraud, B. K. Jennings, and N. Toberg, Nucl. Phys. A828, 267 (2009).

    [4] R. Balian, From Microphysics to Macrophysics: Methods and Applications of Statistical Physics (Springer, Berlin, 2007).

    [5] K. Wildemuth and Y. C. Tang, A Unified Theory of the Nucleus (Academic, New York, 1977).

    [6] L. Hill and J.A. Wheeler, Phys. Rev. 89, 112 (1953); J. J. Griffin and J.A. Wheeler, Phys. Rev. 108, 311 (1957).

    [7] R. P. Feynman and F. L. Vernon, Jr., Ann. Phys. (N.Y.) 24, 118 (1963).

    [8] B. Giraud and B. Grammaticos, Nucl. Phys. A233, 373 (1974).

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