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Analysis of the one dimensional inhomogeneous Jellium model with the Birkhoff-Hopf Theorem

Published 20 Jun 2018 in math.SP, math-ph, and math.MP | (1806.07681v1)

Abstract: We use the Hilbert distance on cones and the Birkhoff-Hopf Theorem to prove decay of correlation, analyticity of the free energy and a central limit theorem in the one dimensional Jellium model with non constant density charge background, both in the classical and quantum cases.

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