Exact level densities for the harmonic oscillator.
The number of levels of a many-fermion system confined by a harmonic-oscillator potential is computed as a function of excitation energy. Because of its exact nature, the formalism accounts for effects of shell structure on the level density. The method is easily extended to a variety of situations as is illustrated with the inclusion of isospin and deformation effects as well as a calculation of the number of spurious states.
Van Isacker
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