Communications in Mathematical Physics

, Volume 174, Issue 1, pp 215–227 | Cite as

On the molecular limit of Coulomb gases

  • Gian Michele Graf
  • Daniel Schenker
Article

Abstract

We give a partially new analysis of the molecular nature of matter. A key feature is a property of the Coulomb potential as ℝ3 is decomposed into simplices. A further application thereof is given in an appendix.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 

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References

  1. 1.
    Conlon, J.G., Lieb, E.H., Yau, H.T.: TheN 7/5 law for charged bosons. Commun. Math. Phys.116, 417–448 (1988)Google Scholar
  2. 2.
    Conlon, J.G., Lieb, E.H., Yau, H.T.: The Coulomb gas at low temperature and low density. Commun. Math. Phys.125, 153–180 (1989)Google Scholar
  3. 3.
    Cycon, H.L., Froese, R.G., Kirsch, W., Simon, B.: Schrödinger Operators. Berlin, Heidelberg, New York: Springer 1987Google Scholar
  4. 4.
    Fefferman, C.: The atomic and molecular nature of matter. Rev. Math. Iberoamericana,1, 1–44 (1985)Google Scholar
  5. 5.
    Fisher, M.E.: The free energy of a macroscopic system. Arch. Rat. Mech. Anal.17, 377–410 (1964)Google Scholar
  6. 6.
    Hughes, W.: Thermodynamics for Coulomb systems: A problem at vanishing particle densities. J. Stat. Phys.41, 975–1013 (1985)Google Scholar
  7. 7.
    Lieb, E.H., Lebowitz, J.L.: The constitution of matter: Existence of thermodynamics for systems composed of electrons and nuclei. Adv. in Math.9, 316–398 (1972)Google Scholar
  8. 8.
    Macris, N., Martin, Ph.A.: Ionization equilibrium in the electron proton gas. J. Stat. Phys.60, 619–637 (1990)Google Scholar
  9. 9.
    Martin, Ph.A.: Lecture on Fefferman's proof of the atomic and molecular nature of matter. Acta Physica PolonicaP24, 751–770 (1993)Google Scholar
  10. 10.
    Peierls, R.: Surprises in Theoretical Physics. Princeton, NJ: Princeton University Press, 1979Google Scholar

Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • Gian Michele Graf
    • 1
  • Daniel Schenker
    • 1
  1. 1.Theoretische PhysikETH HönggerbergZürichSwitzerland

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