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On the electronic shell structure of metallic spheres and circular discs

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Zeitschrift für Physik D Atoms, Molecules and Clusters

Abstract

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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Authors and Affiliations

  1. Institut für Theoretische Physik, Freie Universität Berlin, Arnimallee 14, D-14195, Berlin, Germany

    B. Tatievski, P. Stampfli & K. H. Bennemann

Authors
  1. B. Tatievski
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  2. P. Stampfli
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  3. K. H. Bennemann
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Additional information

This paper was originally submitted in connection with the 2nd. Int. Conference on Atomic and Nuclear Clusters held in Santorini from 28. June–2. July 1993 and is published here as a regular article after an independent refereeing procedure according to the standards of Z. Phys. D

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Tatievski, B., Stampfli, P. & Bennemann, K.H. On the electronic shell structure of metallic spheres and circular discs. Z Phys D - Atoms, Molecules and Clusters 31, 287–289 (1994). https://doi.org/10.1007/BF01445009

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  • DOI: https://doi.org/10.1007/BF01445009

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