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SYGS: 30 Jahre Gutzwiller Spurformel

SYGS II: HV II

SYGS II.1: Invited Talk

Wednesday, March 28, 2001, 15:00–15:30, S6

Semiclassical Description of Shell Effects in Finite Fermion Systems — •Matthias Brack — Institute of Theoretical Physics, University of Regensburg

Since its first appearance in 1971, Gutzwiller’s trace formula has been extended to systems with continuous symmetries, in which not all periodic orbits are isolated. In order to avoid the divergences occurring in connection with symmetry breaking and orbit bifurcations (characteristic of systems with mixed classical dynamics), special uniform approximations have been developed. We first summarize some of the recent developments in this direction. Then we present applications of the extended trace formulae to describe prominent gross-shell effects of various finite fermion systems (atomic nuclei, metal clusters, mesoscopic systems) in terms of the leading periodic orbits of their classical mean-field Hamiltonians.