Abstract
In this paper, we consider charge symmetric quantum Coulomb systems with Boltzmann statistics. We prove that the theory of screening of Debye and Hückel is a combined classical and mean field limit of these quantum Coulomb systems.
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Lieb, E.H., Lebowitz, J.L.: Adv. Math.9, 316 (1972)
Landau, L., Lifchitz, E.: Physique statistique. Moscou: MIR 1967
Fröhlich, J., Park, Y.M.: Correlation inequalities and the thermodynamic limit for classical and quantum continuous systems. Commun. Math. Phys.59, 235 (1978)
Huang, K.: Statistical mechanics. New York, London: Wiley 1963
Oguey, Ch.: Lausanne. Preprint (to appear)
McBryan, O., Spencer, Th.: On the decay of correlations in SO(n)-symmetric ferromagnets. Commun. Math. Phys.53, 299 (1977)
Fontaine, J.-R.: Low-fugacity asymptotic expansion for classical lattice dipole gases. J. Stat. Phys.26, 767 (1981)
Kennedy, T.: Debye-Hückel theory for charge symmetric Coulomb systems. Commun. Math. Phys.92, 269 (1983)
Ginibre, J.: Some applications of functional integration in statistical mechanics. In: Statistical mechanics and quantum field theory. Les Houches, 1970. de, Witt, C., Stora, R. (eds.). New York: Gordon and Breach 1971
Glimm, J., Jaffe, A.: Quantum physics. Berlin, Heidelberg, New York: Springer 1981
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Communicated by J. Fröhlich
Supported by the Swiss National Foundation for Scientific Research
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Fontaine, J.R. Debye-Hückel limit of quantum coulomb systems. Commun.Math. Phys. 103, 241–257 (1986). https://doi.org/10.1007/BF01206938
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DOI: https://doi.org/10.1007/BF01206938