Skip to main content
SpringerLink
Log in

Transition amplitude spaces and quantum logics with vector-valued states

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

Relations between transition amplitude spaces and quantum logics are studied. It is shown that transition amplitude spaces correspond to quantum logics with rich enough sets of vector-valued states.

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

  • Belinfante, J. (1976).Journal of Mathematical Physics,17, 285–291.

    Google Scholar 

  • Beltrametti, E., and Cassinelli, G. (1981).The Logic of Quantum Mechanics, Addison-Wesley, Reading, Massachusetts.

    Google Scholar 

  • Bugajska, K. (1974).International Journal of Theoretical Physics,9, 93–99.

    Google Scholar 

  • Deliyannis, P. (1984).International Journal of Theoretical Physics,23, 217–226.

    Google Scholar 

  • Dvurečenskij, A., and Pulmannová, S. (1981).Demonstratio Mathematica,14, 305–320.

    Google Scholar 

  • Gudder, S. (1979).Stochastic Methods in Quantum Mechanics, Elsevier, North-Holland, Amsterdam.

    Google Scholar 

  • Gudder, S. (1988).Quantum Probability, Academic Press, San Diego, California.

    Google Scholar 

  • Gudder, S., and Pulmannová, S. (1987).Journal of Mathematical Physics,28, 376–385.

    Google Scholar 

  • Hamhalter, J., and Pták, P. (1989). Hubert-space valued states on quantum logics, Preprint ČVUT, Prague.

  • Jajte, R., and Paszkiewicz, A. (1978).Studia Mathematica,58, 229–251.

    Google Scholar 

  • Kruszynski, P. (1988).Mathematics Proceedings A,91, 427–442.

    Google Scholar 

  • Mayet, R. (1987). Classes équationelles et équations liées aux états à valeurs dans un éspace de Hilbert, Thèse, Docteur d'Etat es Sciences, Université Claude Bernard-Lyon, France.

    Google Scholar 

  • Mielnik, B. (1968).Communications in Mathematical Physics,9, 55–80.

    Google Scholar 

  • Mielnik, B. (1969).Communications in Mathematical Physics,15, 1–46.

    Google Scholar 

  • Pulmannová, S. (1986a).Journal of Mathematical Physics,27, 1781–1793.

    Google Scholar 

  • Pulmannová, S. (1986b). Functional properties of transition probability spaces,Reports on Mathematical Physics,28, 81–86.

    Google Scholar 

  • Pulmannová, S., and Dvurečenskij, A. (1989). Quantum logics, vector valued measures and representations,Annales de l'Institut Henri Poincare, to appear.

  • Pulmannová, S., and Gudder, S. (1987).Journal of Mathematical Physics,28, 2393–2399.

    Google Scholar 

  • Varadarajan, V. (1985).Geometry of Quantum Theory, Springer, New York.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematics Institute, Slovak Academy of Sciences, CS-814 73, Bratislava, Czechoslovakia

    Sylvia Pulmannová

Authors
  1. Sylvia Pulmannová
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pulmannová, S. Transition amplitude spaces and quantum logics with vector-valued states. Int J Theor Phys 29, 455–460 (1990). https://doi.org/10.1007/BF00673934

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00673934

Keywords

Search

Navigation