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Applications of density matrix in the fractional quantum mechanics (1012.4958v1)
Published 22 Dec 2010 in math-ph, cond-mat.quant-gas, math.MP, and quant-ph
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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