By Ishiguro M., Sakamoto Y.
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Marchio, F. Strocchi, Phys. Rev. B 48, 5306 (1993). 2. L. Accardi, F. Bagarello, Phys. Lett. A (submitted 2001) 3. F. Strocchi, Elements of quantum mechanics of infinite systems, World Scientific, Singapore-Philadelphia. 4. T. Chakraborty and P. Pietilainen, The FQHE, Springer-Verlag, Berlin, 1988. 5. M. Girvin, The Quantum Hall Effect: Novel Excitations and Broken Symmetries, Springer Verlag, 1999. 6. N. Mohapatra, Phys. Lett. B 242, 407-411 (1990) 7. I. Fivel, Phys. Rev. Lett. 65, 3361-3364 (1990); Erratum, Phys.
This proves the theorem. Earlier it was investigated the existence of "an automorphic part" in the quantum dynamical semigroup which is completely compatible with the faithful normal state (see l o ) . 5 allows t o obtain " a shift part" of the Eo-semigroup obtained by a Markovian cocycle perturbation from the flow of Powers shifts. So it can be considered as some analogue of the picking out a completely non-deterministic part in the Wold decomposition for the classical stochastic processes. PIfio, > > > Acknowledgements The author is grateful to Professor Luigi Accardi for kind hospitality during his visit a t Centro Vito Volterra Universita di Roma Tor Vergata where a part of this work was done.
Phys. , Comm. Math. Phys. 180, 605-632 (1996) 13. G. Lu, I. Volovich, Quantum Theory and its Stochastic Limit, Springer, 2001. 14. , in Quantum Probability and Related Topics Vol. VIII,118 (1993),World Scientific THE FELLER PROPERTY OF A CLASS OF QUANTUM MARKOV SEMIGROUPS II * RAFFAELLA CARBONE Universita degli Studi di Pavia, Dipartimento di Matematica "F. Casorati", Via Ferrata 1, 27100 Pavia, Italy FRANCO FAGNOLA Universita degli Studi di Genova, Dipartimento di Matematica, Via Dodecanese 35, 16146 Genova, Italy Let [) be a Hilbert space and let B(t)) be the von Neumann algebra of all bounded operators on f).