Abstract
A semiclassical approximation to the Hartree-Fock approach is applied to extract the smoothly varying part of the total energy of a rotating nucleus. By introducing the Wigner distribution function, explicit expressions for the total energy, angular momentum and density distribution are calculated in a systematic way. Numerical calculations within the framework of an extended Thomas-Fermi model show that the smooth quantum corrections are relatively small. The self-consistency aspects of the semiclassical description are discussed.
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