Closed-orbit theory for spatial density oscillations in finite fermion
Wednesday, 14 March 2012, 11:00
Spatial densities of fermionic quantum systems typically exhibit
that are connected to shell effects. We present a semiclassical theory 
in which these oscillations are described in terms of the closed (but not
periodic) orbits of the corresponding classical system. We also discuss
Friedel oscillations near a steep surface and present a case study of the
two-dimensional circular billiard in which all periodic and non-periodic
orbits can be classified through analytic relations . Finally, we
local virial theorems that can be derived from this semiclassical theory .
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