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Irreversible evolution in quantum logics

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Abstract

The notion of dynamical semigroup is introduced in the quantum logic scheme on the set of the states. Under suitable nonempty mathematical assumptions it is shown that a Heisenberg picture exists equivalent to the Schrödinger one and having many aspects similar to those of the Hilbert case.

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References

  • Davies, E. B. (1974).Communications in Mathematical Physics,39, 91.

    Google Scholar 

  • Davies, E. B. (1977).Reports on Mathematical Physics,11, 169.

    Google Scholar 

  • Davies, E. B. (1979).Journal of Functional Analysis,34, 421.

    Google Scholar 

  • Fisher, H., and Rüttiman, G. (1978). InMathematical Foundations of Quantum Theory, A. R. Marlow, ed., Academic Press, New York.

    Google Scholar 

  • Frigerio, A., Gorini, V., Kossakowski, A., Sudarshan, E. C. G., and Verri, M. (1978).Reports in Mathematical Physics,13, 149.

    Google Scholar 

  • Gleason, A. M. (1957).Journal of Mathematics and Mechanics,6, 885.

    Google Scholar 

  • Gorini, V., and Zecca, A. (1975).Journal of Mathematical Physics,3, 667.

    Google Scholar 

  • Gorini, V., Kossakowski, A., and Sudarshan, E. C. G. (1976).Journal of Mathematical Physics,17, 821.

    Google Scholar 

  • Gudder, S. (1965).Transactions of the American Mathematical Society,119, 428.

    Google Scholar 

  • Gudder, S. (1966a).Pacific Journal of Mathematics,19, 81.

    Google Scholar 

  • Gudder, S. (1966b).Pacific Journal of Mathematics,19, 588.

    Google Scholar 

  • Gudder, S. (1970). InProbabilistic Methods in Applied Mathematics, Bharucha Reid, ed., Academic Press, New York.

    Google Scholar 

  • Gudder, S. (1973).International Journal of Theoretical Physics,7, 205.

    Google Scholar 

  • Gudder, S. (1978). InMathematical Foundations of Quantum Theory, A. R. Marlow, ed., Academic Press, New York.

    Google Scholar 

  • Haake, F. (1973).Springer Tracts in Modern Physics, Vol. 66, Springer-Verlag, Berlin.

    Google Scholar 

  • Hepp, K., and Lieb, E. (1973).Helvetica Physica Acta,45, 573.

    Google Scholar 

  • Kossakowski, A. (1972).Reports on Mathematical Physics,3, 247.

    Google Scholar 

  • Kronfli, N. S. (1970a).International Journal of Theoretical Physics,3, 191.

    Google Scholar 

  • Kronfli, N. S. (1970b).International Journal of Theoretical Physics,3, 199.

    Google Scholar 

  • Lanz, L., Lugiato, L., and Ramella, G. (1971).Physica,54, 94.

    Google Scholar 

  • Lindblad, G. (1976).Communications in Mathematical Physics,48, 119.

    Google Scholar 

  • Ludwig, G. (1974). InFoundations of Quantum Mechanics and Ordered Linear Spaces, A. Hartkämper and H. Neumann, eds., Springer-Verlag, Berlin.

    Google Scholar 

  • Parravicini, G., and Zecca, A. (1977).Reports on Mathematical Physics,12, 423.

    Google Scholar 

  • Yosida, K. (1971).Functional Analysis, Springer-Verlag, Berlin.

    Google Scholar 

  • Zecca, A. (1976).International Journal of Theoretical Physics,15, 785.

    Google Scholar 

  • Zecca, A. (1981).International Journal of Theoretical Physics,20, 191.

    Google Scholar 

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Zecca, A. Irreversible evolution in quantum logics. Int J Theor Phys 31, 1363–1370 (1992). https://doi.org/10.1007/BF00673969

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  • DOI: https://doi.org/10.1007/BF00673969

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