Sur les semigroupes dynamiques quantiques

Rolando Rebolledo

Annales mathématiques Blaise Pascal (1996)

  • Volume: 3, Issue: 1, page 125-142
  • ISSN: 1259-1734

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Rebolledo, Rolando. "Sur les semigroupes dynamiques quantiques." Annales mathématiques Blaise Pascal 3.1 (1996): 125-142. <http://eudml.org/doc/79143>.

@article{Rebolledo1996,
author = {Rebolledo, Rolando},
journal = {Annales mathématiques Blaise Pascal},
keywords = {quantum dynamical semigroups; completely positive weakly continuous; quantum optics; diffusion process; martingale problem; Fokker-Planck equation; entropic diffusion; noncommutative stochastic differential equation; ergodic theorem; stochastic mechanics},
language = {fre},
number = {1},
pages = {125-142},
publisher = {Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal},
title = {Sur les semigroupes dynamiques quantiques},
url = {http://eudml.org/doc/79143},
volume = {3},
year = {1996},
}

TY - JOUR
AU - Rebolledo, Rolando
TI - Sur les semigroupes dynamiques quantiques
JO - Annales mathématiques Blaise Pascal
PY - 1996
PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
VL - 3
IS - 1
SP - 125
EP - 142
LA - fre
KW - quantum dynamical semigroups; completely positive weakly continuous; quantum optics; diffusion process; martingale problem; Fokker-Planck equation; entropic diffusion; noncommutative stochastic differential equation; ergodic theorem; stochastic mechanics
UR - http://eudml.org/doc/79143
ER -

References

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  5. 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. Zbl0842.58040MR1351100
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  9. 9. G. Lindblad. On the generators of quantum dynamical semigroups. Commun. Math. Phys., 48:119-130, 1976. Zbl0343.47031MR413878
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  11. 11. Nelson, E. (1967) Dynamical Theories of Brownian Motion. Princeton University Press. Zbl0165.58502MR214150
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  13. 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. Zbl0699.60065MR1071552
  14. 14. K.R. Parthasarathy. An Introduction to Quantum Stochastic Calculus, volume 85 of Monographs in Mathematics. Birkhaüser-Verlag, Basel-Boston-Berlin, 1992. Zbl0751.60046MR1164866
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