On the electronic shell structure of metallic spheres and circular discs
The electronic shell structure of spherical and circular potential wells of finite depth is examined as an extension of the work of Balian and Bloch. We obtain analytical expressions for the electronic density of states, which are in good agreement with numerical results. The position of the maxima and minima in the density of states depends strongly on the depth of the potential via the quantummechanical scattering phases. For circular discs the oscillating structure in the density of states shows a different supershell pattern than for spheres. This is a consequence of the difference in the effective quantummechanical multiplicity of closed paths, which determine the oscillating structure.
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- 6.Ashcroft, N.W., Mermin, N.D.: Solid State Physics. New York: Holt, Rinehardt and Winston 1976Google Scholar