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Ground states in classical lattice systems with hard core

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Abstract

In this paper we prove the existence of translation invariant ground states in an infinite classical lattice system with hard core and give a characterization of their support. Some examples are discussed.

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Literature

  1. Ruelle, D.: Statistical mechanics. New York: Benjamin 1969.

    Google Scholar 

  2. —— Commun. math. Phys.11, 339 (1969).

    Google Scholar 

  3. Kantorovich, L. V., Akilov, G. P.: Functional analysis in normed spaces. New York: Pergamon 1964.

    Google Scholar 

  4. Bourbaki, N.: Topologie general. Paris: Hermann 1961.

    Google Scholar 

  5. Fisher, M. E.: Phys. Rev.124, 1664 (1961).

    Google Scholar 

  6. Temperley, H. N. V.: Phil. Mag.6, 1061 (1961).

    Google Scholar 

  7. Kasteleyn, P. W.: Physica27, 1209 (1961).

    Google Scholar 

  8. Fisher, M. E., Stephenson, J.: Phys. Rev.132, 1411 (1963).

    Google Scholar 

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Authors and Affiliations

  1. Seminar für theoretische Physik an der ETH, Zürich

    R. Schrader

  2. Physics Department, Harvard University, 02138, Cambridge, Mass., USA

    R. Schrader

Authors
  1. R. Schrader
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Schrader, R. Ground states in classical lattice systems with hard core. Commun.Math. Phys. 16, 247–264 (1970). https://doi.org/10.1007/BF01646534

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  • DOI: https://doi.org/10.1007/BF01646534

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