Sur les semigroupes dynamiques quantiques
Annales mathématiques Blaise Pascal, Tome 3 (1996) no. 1, pp. 125-142.

Voir la notice de l'article provenant de la source Numdam

@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},
     mrnumber = {1397329},
     zbl = {0882.47018},
     language = {fr},
     url = {http://geodesic.mathdoc.fr/item/AMBP_1996__3_1_125_0/}
}
TY  - JOUR
AU  - Rebolledo, Rolando
TI  - Sur les semigroupes dynamiques quantiques
JO  - Annales mathématiques Blaise Pascal
PY  - 1996
SP  - 125
EP  - 142
VL  - 3
IS  - 1
PB  - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
UR  - http://geodesic.mathdoc.fr/item/AMBP_1996__3_1_125_0/
LA  - fr
ID  - AMBP_1996__3_1_125_0
ER  - 
%0 Journal Article
%A Rebolledo, Rolando
%T Sur les semigroupes dynamiques quantiques
%J Annales mathématiques Blaise Pascal
%D 1996
%P 125-142
%V 3
%N 1
%I Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
%U http://geodesic.mathdoc.fr/item/AMBP_1996__3_1_125_0/
%G fr
%F AMBP_1996__3_1_125_0
Rebolledo, Rolando. Sur les semigroupes dynamiques quantiques. Annales mathématiques Blaise Pascal, Tome 3 (1996) no. 1, pp. 125-142. http://geodesic.mathdoc.fr/item/AMBP_1996__3_1_125_0/

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

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

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

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. | Zbl | MR

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

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

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

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

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

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

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

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. | Zbl | MR | mathdoc-id | EuDML

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

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

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

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. | Zbl | MR | mathdoc-id | EuDML

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

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

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. | Zbl | MR

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

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. | Zbl | MR | mathdoc-id | EuDML