Closed-orbit theory of spatial density oscillations in finite fermion systems

URN zum Zitieren dieses Dokuments:: urn:nbn:de:bvb:355-epub-78170
DOI zum Zitieren dieses Dokuments:: 10.5283/epub.7817

Roccia, J. ; Brack, Matthias

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Veröffentlichungsdatum dieses Volltextes: 05 Aug 2009 13:57

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Zusammenfassung

We investigate the particle and kinetic-energy densities for $N$ non-interacting fermions confined in a local potential. Using Gutzwiller's semi-classical Green function, we describe the oscillating parts of the densities in terms of closed non-periodic classical orbits. We derive universal relations between the oscillating parts of the densities for potentials with spherical symmetry in ...