Closed-orbit theory for spatial densities and applications
Mercredi 23 mars 2011
I investigate the particle and kinetic-energy densities for fermions confined in a mean field potential. Using the Gutzwiller’s semi-classical Green function, we derive the oscillating part of the densities in terms of closed non-periodic classical orbits. A "local virial theorem" valid for arbitrary non-integrable potentials is found. We analyse this result in the context of DFT and we test the semiclassical theory for a variety of simple models. I will conclude by two applications : cold atoms at unitarity and dielectric microresonators.
References : Phys. Rev. E. 81, 011118 (2010), J. Phys. A 42, 355210 (2009),Phys. Rev. Lett. 100, 200408 (2008), Phys. Rev. A 80, 063813 (2009) J. Phys. B 42, 235302 (2009)
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