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

URN to cite this document:: urn:nbn:de:bvb:355-epub-78170
DOI to cite this document:: 10.5283/epub.7817

Roccia, J. ; Brack, Matthias

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Date of publication of this fulltext: 05 Aug 2009 13:57

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Abstract

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