Semiclassical description of shell effects in finite fermion systems

Details Semiclassical description of shell effects in finite fermion systems Semiclassical description of shell effects in finite fermion systems

2005-06-28

arxiv.org/abs/nucl-th/0506079v1

Physica Scripta T 125 (2006) 8 -13

Physics

Nuclear Physics

Nuclear Theory

LaTeX (revteX4) 6 pages; invited talk at Int. Conference "Finite Fermionic Systems: Nilsson Model 50 Years", Lund, Sweden, Jun

Scientific paper

A short survey of the semiclassical periodic orbit theory, initiated by M. Gutzwiller and generalized by many other authors, is given. Via so-called semiclassical trace formmulae, gross-shell effects in bound fermion systems can be interpreted in terms of a few periodic orbits of the corresponding classical systems. In integrable systems, these are usually the shortest members of the most degenerate families or orbits, but in some systems also less degenerate orbits can determine the gross-shell structure. Applications to nuclei, metal clusters, semiconductor nanostructures, and trapped dilute atom gases are discussed.

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