Skip to main content
SpringerLink
Log in

Some connections between ground states and temperature states of thermodynamical systems

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

Abstract

We investigate the properties of ground states of thermodynamical systems as limits of temperature states; we enlarge the algebra of observables in order to define a *-automorphism relevant to the study of K.M.S.-states and derive an usefull theorem of transitivity of *-automorphisms within the locally normal pure states of a quasilocal algebra.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Winnink, M.: Thesis, Groningen (1968).

  2. Haag, R., Kadison, R. V., Kastler, D.: Commun. math. Phys.16, 81 (1970).

    Google Scholar 

  3. Sakai, S.: The Theory ofW*-algebras. Mineographied notes, Yale University (1962).

  4. Hugenholtz, N. M., Takesaki, M., Winnink, M.: Local Normality of the K.M.S. states in Quantum Statistical Mechanics, in preparation.

  5. Haag, R., Hugenholtz, N. M., Winnink, M.: Commun. math. Phys.5, 215 (1967).

    Google Scholar 

  6. Schwartz, L.: Théorie des distributions. Herman: Paris 1966.

    Google Scholar 

  7. Araki, H.: Progr. Theor. Phys.32, 844 (1964).

    Google Scholar 

  8. Doplicher, S., Kastler, D., Størmer, E.: J. Functional Analysis3, 419 (1969).

    Google Scholar 

  9. Rocca, F., Sirugue, M., Testard, D.: Commun. math. Phys.13, 317 (1969).

    Google Scholar 

  10. Rocca, F., Sirugue, M., Testard, D.: Commun. math. Phys.19, 119 (1970).

    Google Scholar 

  11. Powers, R. T., Størmer, E.: Commun. math. Phys.16, 1 (1970).

    Google Scholar 

  12. Manuceau, J.: Ann. Inst. Henri Poincaré2, 139 (1968).

    Google Scholar 

  13. Manuceau, J., Verbeure, A.: Commun. math. Phys.9, 293 (1968).

    Google Scholar 

  14. Dixmier, J.: Les algébres d'opérateurs dans l'espace hilbertien. Paris: Gauthier-Villars 1968.

    Google Scholar 

  15. Powers, R. T.: Ann. Math.86, 138 (1967).

    Google Scholar 

  16. Ruelle, D.: Commun. math. Phys.11, 339 (1969).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Centre de Physique Théorique, C.N.R.S., Marseille

    M. Sirugue & D. Testard

Authors
  1. M. Sirugue
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. Testard
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Chargé de Recherches au C.N.R.S.

Maître-Assistant — Université d'Aix-Marseille II — Centre de Luminy.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sirugue, M., Testard, D. Some connections between ground states and temperature states of thermodynamical systems. Commun.Math. Phys. 22, 223–237 (1971). https://doi.org/10.1007/BF01877708

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01877708

Keywords

Search

Navigation