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Applications of density matrix in the fractional quantum mechanics

Mathematical Physics 2011-06-27 v1 Quantum Gases math.MP Quantum Physics

Abstract

The many-body space fractional quantum system is studied using the density matrix method. We give the new results of the Thomas-Fermi model, and obtain the quantum pressure of the free electron gas. We also show the validity of the Hohenberg-Kohn theory in the space fractional quantum mechanics and generalize the density functional theory to the fractional quantum mechanics.

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Cite

@article{arxiv.1012.4958,
  title  = {Applications of density matrix in the fractional quantum mechanics},
  author = {Jianping Dong},
  journal= {arXiv preprint arXiv:1012.4958},
  year   = {2011}
}

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