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Journal of Statistical Physics

, Volume 116, Issue 1–4, pp 3–8 | Cite as

Elliott's World: From Square Ice to Cubic Jellium

  • Freeman Dyson
Article
  • 87 Downloads

Keywords

Physical Chemistry Statistical Physic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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REFERENCES

  1. 1.
    E. G. D. Cohen, ed., Statistical Mechanics at the Turn of the Decade(Dekker, New York, 1971).Google Scholar
  2. 2.
    J. Conlon, E. Lieb, and H.-T. Yau, The N 7/5law for charged bosons, Comm. Math. Phys. 116:417–448 (1988).Google Scholar
  3. 3.
    L. L. Foldy, Charged boson gas, Phys. Rev. 124:649–651 (1961).Google Scholar
  4. 4.
    E. Lieb and D. Mattis, Mathematical Physics in One Dimension(Academic Press, New York, 1966).Google Scholar
  5. 5.
    E. Lieb, Exact solution of the problem of the entropy of two-dimensional ice, Phys. Rev. Lett. 18:692–694 (1967).Google Scholar
  6. 6.
    E. Lieb and W. Thirring, Bound for the kinetic energy of fermions which proves the stability of matter, Phys. Rev. Lett. 35:687–689 (1975).Google Scholar
  7. 7.
    E. Lieb, F. Dyson, and B. Simon, Phase transitions in quantum spin systems with isotropic and non-isotropic interactions, J. Stat. Phys. 18:335–383 (1978).Google Scholar
  8. 8.
    E. Lieb, J. Solovej, and J. Yngvason, Asymptotics of Natural and Artificial Atoms in Strong Magnetic Fields, in The Stability of Matter: From Atoms to Stars, Selecta of E. H. Lieb, 2nd edn., W. Thirring, ed. (Springer-Verlag, Berlin, 1997), pp. 145–167.Google Scholar
  9. 9.
    E. Lieb and J. Solovej, Ground state energy of the one-component charged Bose gas, Comm. Math. Phys. 217:127–163 (2001).Google Scholar
  10. 10.
    J. Yngvason, Thomas-Fermi theory for matter in a magnetic field as a limit of quantum mechanics, Lett. Math. Phys. 22:107–117 (1991).Google Scholar

Copyright information

© Plenum Publishing Corporation 2004

Authors and Affiliations

  • Freeman Dyson
    • 1
  1. 1.Institute for Advanced StudyPrinceton

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