Quantum stochastic differential equations driven by free noises and dilations of markovian semigroups

Maria Elvira Mancino

Rendiconti del Seminario Matematico della Università di Padova (1994)

  • Volume: 91, page 199-223
  • ISSN: 0041-8994

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Mancino, Maria Elvira. "Quantum stochastic differential equations driven by free noises and dilations of markovian semigroups." Rendiconti del Seminario Matematico della Università di Padova 91 (1994): 199-223. <http://eudml.org/doc/108316>.

@article{Mancino1994,
author = {Mancino, Maria Elvira},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {quantum stochastic calculus; Markovian semigroups; quantum stochastic differential equations; creation; annihilation; gauge fields; unitary cocycles; free noise fields; unitary dilations; boson Fock space},
language = {eng},
pages = {199-223},
publisher = {Seminario Matematico of the University of Padua},
title = {Quantum stochastic differential equations driven by free noises and dilations of markovian semigroups},
url = {http://eudml.org/doc/108316},
volume = {91},
year = {1994},
}

TY - JOUR
AU - Mancino, Maria Elvira
TI - Quantum stochastic differential equations driven by free noises and dilations of markovian semigroups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1994
PB - Seminario Matematico of the University of Padua
VL - 91
SP - 199
EP - 223
LA - eng
KW - quantum stochastic calculus; Markovian semigroups; quantum stochastic differential equations; creation; annihilation; gauge fields; unitary cocycles; free noise fields; unitary dilations; boson Fock space
UR - http://eudml.org/doc/108316
ER -

References

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  1. [1] L. Accardi, On the quantum Feynman-Kac formula, Rend. Sem. Mat. Fis. Milano, 48 (1978). Zbl0437.60030MR573541
  2. [2] L. Accardi - F. FAGNOLA - J. QUAEGEBEUR, A representation free quantum stochastic calculus, J. Funct. Anal., 104 (1992). Zbl0759.60068MR1152463
  3. [3] A.M. Chebotarev, The theory of the conservative dynamical semigroups and its applications, Preprint MIEM n. 1, March 1990. Zbl1128.47315MR1164679
  4. [4] F. Fagnola, Characterization of isometric and unitary weakly differentiable cocycles in Fock space, Quantum Probability, VIII (1993). MR1258327
  5. [5] F. Fagnola, On quantum stochastic integration with respect to «free» noises, Quantum Probability and RelatedTopics, VI (1991). Zbl0953.60527MR1149833
  6. [6] F. Fagnola - M. Mancino, Free noise dilation of semigroups of countable state Markov processes, Quantum Probability and Related Topics, VII (1992). Zbl0789.47026MR1186661
  7. [7] B. Kummerer - R. Speicher, Stochastic integration on the Cuntz algebra O∞, SFB-Preprint n. 602, Heidelberg, 1990. Zbl0787.46052
  8. [8] A. Mohari - K.R. Parthasarathy, On a class of generalized Evans-Hudson flows related to classical Markov processes, Preprint, I.S.I. Delhi Centre, 1991. Zbl0797.60073
  9. [9] K.R. Parthasarathy, An introduction to quantum stochastic calculus, I.S.I. New Delhi, 1990. Zbl0751.60046
  10. [10] R. Speicher, A new example of «independence» and «white noise », Probab. Th. Rel. Fields, 84 (1990), pp. 141-159. Zbl0671.60109MR1030725

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