# Splitting the conservation process into creation and annihilation parts

Banach Center Publications (1998)

- Volume: 43, Issue: 1, page 341-348
- ISSN: 0137-6934

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topPrivault, Nicolas. "Splitting the conservation process into creation and annihilation parts." Banach Center Publications 43.1 (1998): 341-348. <http://eudml.org/doc/208855>.

@article{Privault1998,

abstract = {The aim of this paper is the study of a non-commutative decomposition of the conservation process in quantum stochastic calculus. The probabilistic interpretation of this decomposition uses time changes, in contrast to the spatial shifts used in the interpretation of the creation and annihilation operators on Fock space.},

author = {Privault, Nicolas},

journal = {Banach Center Publications},

keywords = {Fock space; quantum stochastic calculus},

language = {eng},

number = {1},

pages = {341-348},

title = {Splitting the conservation process into creation and annihilation parts},

url = {http://eudml.org/doc/208855},

volume = {43},

year = {1998},

}

TY - JOUR

AU - Privault, Nicolas

TI - Splitting the conservation process into creation and annihilation parts

JO - Banach Center Publications

PY - 1998

VL - 43

IS - 1

SP - 341

EP - 348

AB - The aim of this paper is the study of a non-commutative decomposition of the conservation process in quantum stochastic calculus. The probabilistic interpretation of this decomposition uses time changes, in contrast to the spatial shifts used in the interpretation of the creation and annihilation operators on Fock space.

LA - eng

KW - Fock space; quantum stochastic calculus

UR - http://eudml.org/doc/208855

ER -

## References

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- [8] D. Ocone, A guide to the stochastic calculus of variations, in: H. Körezlioǧlu and A.S. Üstünel (eds.), Stochastic Analysis and Related Topics, Silivri, 1988; volume 1316 of Lecture Notes in Mathematics, Springer-Verlag, Berlin/New York 1988.
- [9] N. Privault, A calculus on Fock space and its probabilistic interpretations, Bull. Sci. Math., to appear.
- [10] N. Privault, An extension of the quantum Itô table and its matrix representation, to appear in Quantum Probability Communications X, World Scientific, 1998.
- [11] D. Surgailis, On multiple Poisson stochastic integrals and associated Markov semi-groups, Probab. Math. Stat. 3 (1984), 217-239. Zbl0548.60058
- [12] A. S. Üstünel, Representation of the distributions on Wiener space and stochastic calculus of variations, J. Funct. Anal. 70 (1987), 126-129.

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