Sur les semigroupes dynamiques quantiques
Annales Mathématiques Blaise Pascal, Tome 3 (1996) no. 1, pp. 125-142.
@article{AMBP_1996__3_1_125_0,
     author = {Rebolledo, Rolando},
     title = {Sur les semigroupes dynamiques quantiques},
     journal = {Annales Math\'ematiques Blaise Pascal},
     pages = {125--142},
     publisher = {Laboratoires de Math\'ematiques Pures et Appliqu\'ees de l'Universit\'e Blaise Pascal},
     volume = {3},
     number = {1},
     year = {1996},
     doi = {10.5802/ambp.58},
     zbl = {0882.47018},
     mrnumber = {1397329},
     language = {fr},
     url = {https://ambp.centre-mersenne.org/articles/10.5802/ambp.58/}
}
Rolando Rebolledo. Sur les semigroupes dynamiques quantiques. Annales Mathématiques Blaise Pascal, Tome 3 (1996) no. 1, pp. 125-142. doi : 10.5802/ambp.58. https://ambp.centre-mersenne.org/articles/10.5802/ambp.58/

1. E.B. Davies. Quantum dynamical semigroups and the neutron diffusion equation. Rep.Math.Phys., 11:169-188, 1977. | MR 503331 | Zbl 0372.47020

2. F. Fagnola, Characterization of isometric and unitary weakly differentiable cocycles in Fock space, Quantum Probabability and Related Topics, 1993, vol. VIII, 143-164. | MR 1258327

3. F. Fagnola, R. Rebolledo, and C. Saavedra. Quantum flows associated to master equations in quantum optics. J. Math.Phys., 35:1-12, 1994. | MR 1252096 | Zbl 0797.60052

4. F. Fagnola, R. Rebolledo, An ergodic theorem in quantum optics, 1995, à paraître dans les actes du colloque en honneur de A. Frigerio, publiées par l'Université d'Udine.

5. F. Fagnola, R. Rebolledo, Sur l'approche de l'équilibre au moyen des flots quantiques, 1995, C.R. Acad.Sci. Paris, sér. I, t.321, 473-476. | MR 1351100 | Zbl 0842.58040

6. A. Frigerio, Stationary states of quantum dynamical semigroups, Comm. in Math. Phys., 1978, vol. 63, 269-276. | MR 522826 | Zbl 0404.46050

7. A. Frigerio et M. Verri, Long-time asymptotic properties of dynamical semigroups on W*-algebras, Math. Zeitschrift, 1982, 180, 275-286. | MR 661704 | Zbl 0471.46048

8. A. Kossakowski V. Gorini and E.C.G. Sudarshan. Completely positive dynamical semigroups of n-level systems. J. Math. Phys., 17:821-825, 1976. | MR 406206

9. G. Lindblad. On the generators of quantum dynamical semigroups. Commun. Math. Phys., 48:119-130, 1976. | MR 413878 | Zbl 0343.47031

10. P.-A. Meyer. Quantum Probability for Probabilists, volume 1538 of Lect. Notes in Math. Springer-Verlag, Berlin, Heidelberg, New York, 1993. | MR 1222649 | Zbl 0773.60098

11. Nelson, E. (1967) Dynamical Theories of Brownian Motion. Princeton University Press. | MR 214150 | Zbl 0165.58502

12. Nelson, E. (1985) Quantum Fluctuations. Princeton University Press. | MR 783254 | Zbl 0563.60001

13. K.R. Parthasarathy and K.B. Sinha. Markov chains as Evans-Hudson diffusions in Fock space. Séminaire de Probabilités, XXIV (1426):362-369, 1988-1989. LNM-Springer. | EuDML 113729 | Numdam | MR 1071552 | Zbl 0699.60065

14. K.R. Parthasarathy. An Introduction to Quantum Stochastic Calculus, volume 85 of Monographs in Mathematics. Birkhaüser-Verlag, Basel-Boston-Berlin, 1992. | MR 1164866 | Zbl 0751.60046

15. Platen-Rebolledo (1985) Weak Convergence of Semimartingales and Discretization Methods. Stochastic Processes and their Appl. 20, 41-58. | MR 805115 | Zbl 0584.60060

16. Protter, P. (1990) Stochastic Integration and Differential Equations. A New Approach. Springer-Verlag, 302 p. | MR 1037262 | Zbl 0694.60047

17. Rebolledo (1979) La Méthode des Martingales appliquée à l'étude de la convergence en loi des processus. Bull. Soc. Math. de France, mém. 62, 125 p. | EuDML 94809 | Numdam | MR 568153 | Zbl 0425.60036

18. Rebolledo (1980) Sur l'existence de solutions à certains probleèmes de semimartingales. C.R. Acad. Sci. Paris, t. 290, 843-846. | MR 579985 | Zbl 0435.60042

19. Rebolledo, R.-Retamal, J.-Saavedra, C. (1992) Diffusion Processes associated to a Laser Model. Journal of Math. Phys. vol. 33, 826-831. | MR 1145380

20. Rebolledo, R. (1992) The Role of weak topologies in Stochastic Mechanics. Ed. Bernoulli, Proceedings IV CLAPEM, Acta Científica Venezolana, Caracas, num., 343-60.

21. Stroock, D.W.-Varadhan, S.R.S. (1979) Multidimensional Diffusions Processes. Springer, 338 p. | MR 532498 | Zbl 0426.60069

22. K. Yosida. Functional Analysis. Springer-Yerlag, Berlin, Heidelberg, New York, 3rd. edition, 1971. | Zbl 0217.16001

23. Zheng, W.A. (1985) Tightness results for laws of diffusion processes, application to Stochastic Mechanics, Ann. Inst. Henri Poincaré, vol. 21, n 2, 103-124. | EuDML 77251 | Numdam | MR 798890 | Zbl 0579.60050