• J M Pearson

      Articles written in Pramana – Journal of Physics

    • Semi-classical smoothing in a non-monotonic field

      A K Dutta J M Pearson

      More Details Abstract Fulltext PDF

      It is pointed out that the semi-classical method of Jennings, Bhaduri and Brack for smoothing the total energy of a system of non-interacting fermions in a potential wellV(r) breaks down in the fourth-order term if this potential is non-monotonic. This means that the method as it stands can only be used by neglecting the Coulomb force on protons. We propose a modified treatment for the fourth-order term which appears to be entirely satisfactory.

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