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Observables at infinity and states with short range correlations in statistical mechanics

Lanford, O. E., Ruelle, D.·1969·Communications in Mathematical Physics
DOI 10.1007/bf01645487
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Research works printed but not linked: 24

  1. Choquet, G., andP.-A. Meyer: Existence et unicité des représentations intégrales dans les convexes compacts quelconques. Ann. Inst. Fourier13, 139–154 (1953). · DOI
  2. Dell'Antonio, G.-F., S. Doplicher, andD. Ruelle: A theorem on canonical commutation and anticommutation relations. Commun. Math. Phys.2, 223–230 (1966). · doi:10.1007/bf01773354
  3. ——D. Kastler, andD. W. Robinson: Covariance algebras in field theory and statistical mechanics. Commun. Math. Phys.3, 1–28 (1966). · DOI
  4. Fisher, M. E.: The theory of condensation and the critical point. Physics3, 255–283 (1967). · DOI
  5. Gallavotti, G., andS. Miracle: Statistical mechanics of lattice systems. Commun. Math. Phys.5, 317–323 (1967). · doi:10.1007/bf01646445
  6. ——: Correlation functions of a lattice gas. Commun. Math. Phys.7, 274–288 (1968). · doi:10.1007/bf01646661
  7. ——: A variational principle for the equilibrium of hard sphere systems. Ann. Inst. Henri Poincaré8, 287–299 (1968).
  8. ——, andD. W. Robinson: Analyticity properties of a lattice gas. Phys. Letters25 A, 493–494 (1967). · doi:10.1016/0375-9601(67)90004-7
  9. Jacobs, K.: Lecture notes on ergodic theory. Aarhus: Aarhus Universitet 1963.
  10. Kastler, D., andD. W. Robinson: Invariant states in statistical mechanics. Commun. Math. Phys.3, 151–180 (1966). · DOI
  11. Lanford, O.: The classical mechanics of one-dimensional systems of infinitely many particles. I. An existence theorem. Commun. Math. Phys.9, 179–191 (1968). II. Kinetic theory. Commun. Math. Phys.11, 257–292 (1969).
  12. ——, andD. W. Robinson: Mean entropy of states in quantum statistical mechanics. J. Math. Phys.9, 1120–1125 (1968). · DOI
  13. Landford, O., andD. W. Robinson: Statistical mechanics of quantum spin systems III. Commun. Math. Phys.9, 327–338 (1968). · DOI
  14. ——, andD. Ruelle: Integral Representations of Invariant States on B*-Algebras. J. Math. Phys.8, 1460–1463 (1967). · doi:10.1063/1.1705360
  15. Powers, R. T.: Representations of uniformly hyperfinite algebras and their associated von Neumann rings. Ann. Math.86, 138–171 (1967). · DOI · Paper page
  16. Robinson, D. W., andD. Ruelle: Extremal invariant states. Ann. Inst. Henri Poincaré6, 299–310 (1967).
  17. Ruelle, D.: Correlation functions of classical gases. Ann. Phys.25, 109–120 (1963). · doi:10.1016/0003-4916(63)90336-1
  18. —— Quantum statistical mechanics and canonical commutation relations. Cargèse lectures in theoretical physics 1965. New York: Gordon & Breach 1967.
  19. —— States of physical systems. Commun. Math. Phys.3, 133–150 (1966). · DOI
  20. —— States of classical statistical mechanics. J. Math. Phys.8, 1657–1668 (1967). · DOI
  21. —— A variational formulation of equilibrium statistical mechanics and the Gibbs phase rule. Commun. Math. Phys.5, 324–329 (1967). · doi:10.1007/bf01646446
  22. —— Statistical mechanics, rigorous results. New York: Benjamin (1969).
  23. Sinai: Ya. G.: Probabilistic ideas in ergodic theory. International Congress of Mathematicians, Stockholm 1962, 540–559, and Amer. Math. Soc. Transl. (2)31, 62–81 (1963).
  24. Størmer, E.: Large groups of automorphisms of C*-algebras. Commun. Math. Phys.5, 1–22 (1967). · DOI

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Metadata

Authors
Lanford, O. E., & Ruelle, D.
Venue
Communications in Mathematical Physics
Publisher
Springer Science and Business Media LLC
Published
1969-09
Volume
13
Issue
3
Pages
194-215
ISSN
  • 0010-3616 (ISSN-L)
  • 1432-0916
DOI
10.1007/bf01645487
OpenAlex
W2072950705
Cited by
603
References
0
FWCI
10.77
Type
journal article
Language
en
Open access
closed
Licence
www.springer.com/tdm (tdm)

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CoChat. (2026). Citation check: Observables at infinity and states with short range correlations in statistical mechanics. https://app.cochat.ai/papers/10.1007/bf01645487
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Lanford, O. E., & Ruelle, D. (1969). Observables at infinity and states with short range correlations in statistical mechanics. Communications in Mathematical Physics. https://doi.org/10.1007/bf01645487

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