Skip to main content
Log in

On the product form of quasi-free states

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

Abstract

The product form of quasi-free states is outlined, and the types of the generated factors are exhibited whenever the states are translation invariant. Among these states some are shown to be involved in the study of Fermi and Bose gases.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Greenberg, O. W.: Ann. Phys.16, 158 (1961).

    Google Scholar 

  2. Robinson, D. W.: Commun. Math. Phys.1, 159 (1965).

    Google Scholar 

  3. Powers, R. T.: Princeton Thesis (1967).

  4. Balslev, E., andA. Verbeure: Commun. Math. Phys.1, 55 (1968).

    Google Scholar 

  5. ——,J. Manuceau, andA. Verbeure: Commun. Math. Phys.8, 315 (1968).

    Google Scholar 

  6. Manuceau, J., andA. Verbeure: Commun. Math. Phys.9, 293 (1968).

    Google Scholar 

  7. Shale, D., andW. F. Stinespring: Ann. Math.80, 365 (1964).

    Google Scholar 

  8. Guichardet, A.: Algèbres d'observables associées aux relations de commutation (to appear).

  9. Séminaire du Centre de Physique Théorique de Marseille (1968).

  10. Dixmier, J.: Les algèbres d'opérateurs dans l'espace hilbertien. Pairs: Gauthier-Villars 1958.

    Google Scholar 

  11. LesC*-algèbres et leurs représentations. Paris: Gauthier-Villars 1964.

    Google Scholar 

  12. Powers, R. T.: Ann. Math. (1967).

  13. Dieudonne, J.: Eléments d'analyse, tome 2. Paris: Gauthier-Villars 1968.

    Google Scholar 

  14. Godemment, R.: Trans. Am. Math. Soc.63, 1 (1948).

    Google Scholar 

  15. Kastler, D., andD. W. Robinson: Commun. Math. Phys.3, 151 (1966).

    Google Scholar 

  16. Størmer, E.: Commun. Math. Phys.6, 194 (1967).

    Google Scholar 

  17. Guichardet, A.: Ann. Sci. E.N.S.83, 1 (1966).

    Google Scholar 

  18. Størmer, E.: Symmetric states of infinite tensor products ofC*-algebras (preprint).

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

    Google Scholar 

  20. Dunford, N., andJ. T. Schwartz: Linear operators II. New-York: Interscience Publ. Inc. 1963.

    Google Scholar 

  21. Kastler, D.: Commun. Math. Phys.1, 14 (1965).

    Google Scholar 

  22. Araki, H., andE. J. Woods: J. Math. Phys.4, 637 (1963).

    Google Scholar 

  23. ——, andW. Wyss: Helv. Phys. Acta37, 136 (1964).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Attaché de recherche au C.N.R.S.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Manuceau, J., Rocca, F. & Testard, D. On the product form of quasi-free states. Commun.Math. Phys. 12, 43–57 (1969). https://doi.org/10.1007/BF01646434

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01646434

Keywords

Navigation