Theoretical and Mathematical Physics

, Volume 54, Issue 1, pp 35–48 | Cite as

On field algebras in quantum theory with indefinite metric

  • K. Yu. Dadashyan
  • S. S. Khoruzhii
Article

Keywords

Quantum Theory Field Algebra 

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Literature Cited

  1. 1.
    F. Strocchi and A. S. Wightman, J. Phys.,15, 2198 (1974).Google Scholar
  2. 2.
    F. Strocchi, Phys. Rev. D.,17, 2010 (1978).Google Scholar
  3. 3.
    J. Yngvason, Rep. Math. Phys.,12, 57 (1977).Google Scholar
  4. 4.
    M. J. Mintchev, J. Phys. A,13, 1841 (1980).Google Scholar
  5. 5.
    G. Morchio and F. Strocchi, Ann. Inst. H. Poincaré,33A, 251 (1980).Google Scholar
  6. 6.
    E. d'Emilio and M. Mintchev, J. Math. Phys.,22, 1267 (1981).Google Scholar
  7. 7.
    L. Jakóbczyk, Bull. Acad. Sci. Pol., Ser. Phys.,38, 167 (1980).Google Scholar
  8. 8.
    Yu. P. Ginzburg and I. S. Iokhvidov, Usp. Mat. Nauk,17, 3 (1962).Google Scholar
  9. 9.
    J. J. Bisognano and E. H. Wichmann, J. Math. Phys.,16, 985 (1975).Google Scholar
  10. 10.
    N. Dunford and J. T. Schwartz, Linear Operators (General Theory), Interscience, New York (1958).Google Scholar
  11. 11.
    M. Demuth, “On time dependent scattering theory in Krein space,” Preprint P/20/80, Zentralinstitut der Mathematik u Mechanik, Berlin (1980).Google Scholar
  12. 12.
    I. M. Gel'fand and G. E. Shilov, Generalized Functions, Vol. 2, Function and Generalized Function Spaces, Academic Press, New York (1964).Google Scholar
  13. 13.
    V. S. Shul'man, Mat. Sb.,89, 264 (1972).Google Scholar
  14. 14.
    V. I. Liberzon and V. S. Shul'man, Izv. Akad. Nauk SSSR, Ser. Mat.,37, 533 (1973).Google Scholar
  15. 15.
    J. Dixmier, Les Algèbres d'Operateurs dan l'Éspace Hilbertien (lesAlgèbres de von Neumann), Gauthier-Villars, Paris (1969).Google Scholar
  16. 16.
    N. I. Akhiezer and I. M. Glazman, Theory of Linear Operators in Hilbert Space, New York (1961).Google Scholar
  17. 17.
    E. Hille and R. S. Phillips, Functional Analysis and Semigroups, A.M.S. Colloquium Publications, Vol. 31, Providence, R.I. (1957).Google Scholar
  18. 18.
    A. I. Loginov and V. S. Shul'man, Dokl. Akad. Nauk SSSR,240, 21 (1978).Google Scholar
  19. 19.
    M. Takesaki, Tomita's Theory of Modular Hilbert Algebras and its Applications, Springer-Verlag (1970).Google Scholar
  20. 20.
    H. J. Langer, Funktsional Analiz i Ego Prilozhen.,8, 287 (1971).Google Scholar
  21. 21.
    S. Sakai, C* Algebras and W* Algebras, Springer-Verlag (1971).Google Scholar
  22. 22.
    M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. 1, Academic Press, New York (1972).Google Scholar

Copyright information

© Plenum Publishing Corporation 1983

Authors and Affiliations

  • K. Yu. Dadashyan
  • S. S. Khoruzhii

There are no affiliations available

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