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.
Davies, E. B. (1977).Reports on Mathematical Physics,11, 169.
Davies, E. B. (1979).Journal of Functional Analysis,34, 421.
Fisher, H., and Rüttiman, G. (1978). InMathematical Foundations of Quantum Theory, A. R. Marlow, ed., Academic Press, New York.
Frigerio, A., Gorini, V., Kossakowski, A., Sudarshan, E. C. G., and Verri, M. (1978).Reports in Mathematical Physics,13, 149.
Gleason, A. M. (1957).Journal of Mathematics and Mechanics,6, 885.
Gorini, V., and Zecca, A. (1975).Journal of Mathematical Physics,3, 667.
Gorini, V., Kossakowski, A., and Sudarshan, E. C. G. (1976).Journal of Mathematical Physics,17, 821.
Gudder, S. (1965).Transactions of the American Mathematical Society,119, 428.
Gudder, S. (1966a).Pacific Journal of Mathematics,19, 81.
Gudder, S. (1966b).Pacific Journal of Mathematics,19, 588.
Gudder, S. (1970). InProbabilistic Methods in Applied Mathematics, Bharucha Reid, ed., Academic Press, New York.
Gudder, S. (1973).International Journal of Theoretical Physics,7, 205.
Gudder, S. (1978). InMathematical Foundations of Quantum Theory, A. R. Marlow, ed., Academic Press, New York.
Haake, F. (1973).Springer Tracts in Modern Physics, Vol. 66, Springer-Verlag, Berlin.
Hepp, K., and Lieb, E. (1973).Helvetica Physica Acta,45, 573.
Kossakowski, A. (1972).Reports on Mathematical Physics,3, 247.
Kronfli, N. S. (1970a).International Journal of Theoretical Physics,3, 191.
Kronfli, N. S. (1970b).International Journal of Theoretical Physics,3, 199.
Lanz, L., Lugiato, L., and Ramella, G. (1971).Physica,54, 94.
Lindblad, G. (1976).Communications in Mathematical Physics,48, 119.
Ludwig, G. (1974). InFoundations of Quantum Mechanics and Ordered Linear Spaces, A. Hartkämper and H. Neumann, eds., Springer-Verlag, Berlin.
Parravicini, G., and Zecca, A. (1977).Reports on Mathematical Physics,12, 423.
Yosida, K. (1971).Functional Analysis, Springer-Verlag, Berlin.
Zecca, A. (1976).International Journal of Theoretical Physics,15, 785.
Zecca, A. (1981).International Journal of Theoretical Physics,20, 191.
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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