Abstract

For a system of noninteracting fermions in a one-body potential including spin-orbit interaction, an explicit series in the expansion parameter h ̵ 2 is derived for the “smooth” part of the energy. The formalism is only valid for potentials with no discontinuous edges, and is based on the Wigner-Kirkwood semiclassical partition function. Some numerical calculations are done in realistic spherical and deformed potentials to demonstrate the practical utility of the method. Numerical comparisons with the corresponding Strutinsky calculations are also made.

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