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# Local virial theorems and closed-orbit theory for spatial density oscillations in fermionic systems

Roccia, J, Brack, Matthias, Koch, Andreas and Murthy, M (2009) Local virial theorems and closed-orbit theory for spatial density oscillations in fermionic systems.

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Other URL: http://arxiv.org/abs/0903.2172

## Abstract

We investigate the particle and kinetic energy densities for a system of $N$ fermions confined in a local mean-field potential $V(\bfr)$. For isotropic harmonic oscillators in arbitrary dimensions, exact linear relations between kinetic and potential energy density, termed local virial theorems'', and some exact (integro-) differential equations for the particle density have been earlier ...

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Item type: Article 2009 Physics > Institute of Theroretical Physics > Alumni or Retired Professors > Group Matthias Brack Graduiertenkolleg Nichtlinearität und Nichtgleichgewicht 500 Science > 530 Physics Published Yes, this version has been refereed Yes 7980
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