Semiclassical description of large multipole-deformed metal clusters

Meier, P. and Brack, Matthias and Creagh, S. C. (1997) Semiclassical description of large multipole-deformed metal clusters. ZEITSCHRIFT FUR PHYSIK D-ATOMS MOLECULES AND CLUSTERS, 41 (4). pp. 281-290. ISSN 0178-7683

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Abstract

We use the semiclassical periodic orbit theory to describe large metal clusters with axial quadrupole, octupole, or hexadecapole deformations. The clusters are regarded as cavities with ideally reflecting walls. We start from the case of spherical symmetry and then apply a perturbative approach for calculating the oscillating part of the level density in the deformed case. The advantage of this approach is that one only has to know the periodic orbits of the spherical cavity, which makes the calculation very simple. This perturbative method is a priori restricted to small deformations. However, the results agree quite well with those of quantum-mechanical calculations for deformations that are not too large, such as typically occur for the ground states of metal clusters. We also calculate shell-correction energies. With this, it becomes possible to predict at least qualitatively the deformation energy of metal clusters.

Item Type: Article
Uncontrolled Keywords: ELECTRONIC SHELL STRUCTURE; NEAR-INTEGRABLE SYSTEMS; LARGE SODIUM CLUSTERS; TRACE FORMULAS; JELLIUM MODEL; WAVE-EQUATION; FINITE DOMAIN; SUPERSHELLS; EIGENFREQUENCIES; TEMPERATURE
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Alumni or Retired Professors > Group Matthias Brack
Depositing User: Dr. Gernot Deinzer
Date Deposited: 30 Mar 2023 08:01
Last Modified: 30 Mar 2023 08:01
URI: https://pred.uni-regensburg.de/id/eprint/50636

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