Thomas-Fermi-von Weizsäcker theory for a harmonically trapped, two-dimensional, spin-polarized dipolar Fermi gas

@article{Zyl2013ThomasFermivonWT,
  title={Thomas-Fermi-von Weizs{\"a}cker theory for a harmonically trapped, two-dimensional, spin-polarized dipolar Fermi gas},
  author={Brandon P. van Zyl and Eugene Zaremba and P. Pisarski},
  journal={Physical Review A},
  year={2013},
  volume={87},
  pages={043614}
}
We systematically develop a density functional description for the equilibrium properties of a two-dimensional, harmonically trapped, spin-polarized dipolar Fermi gas based on the Thomas- Fermi von Weizsacker approximation. We pay particular attention to the construction of the two- dimensional kinetic energy functional, where corrections beyond the local density approximation must be motivated with care. We also present an intuitive derivation of the interaction energy functional associated… 
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