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

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Roccia, J. ; Brack, Matthias
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Date of publication of this fulltext: 05 Aug 2009 13:57


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 ...


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