Quantum stochastic calculus on full Fock space
Banach Center Publications (1998)
- Volume: 43, Issue: 1, page 369-379
- ISSN: 0137-6934
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topSkeide, Michael. "Quantum stochastic calculus on full Fock space." Banach Center Publications 43.1 (1998): 369-379. <http://eudml.org/doc/208858>.
@article{Skeide1998,
abstract = {We present a new version of integration of time-adapted processes with respect to creation, annihilation and conservation processes on the full Fock space. Among the new features, in the first place, there is a new formulation of adaptedness which is both simpler and more general than the known ones. The new adaptedness allows for processes which are not restricted to be elements of some norm closure of the ∗-algebra which is generated by the basic creation processes.},
author = {Skeide, Michael},
journal = {Banach Center Publications},
keywords = {integration of time-adapted processes; creation; annihilating; conservation; Fock space; -algebra},
language = {eng},
number = {1},
pages = {369-379},
title = {Quantum stochastic calculus on full Fock space},
url = {http://eudml.org/doc/208858},
volume = {43},
year = {1998},
}
TY - JOUR
AU - Skeide, Michael
TI - Quantum stochastic calculus on full Fock space
JO - Banach Center Publications
PY - 1998
VL - 43
IS - 1
SP - 369
EP - 379
AB - We present a new version of integration of time-adapted processes with respect to creation, annihilation and conservation processes on the full Fock space. Among the new features, in the first place, there is a new formulation of adaptedness which is both simpler and more general than the known ones. The new adaptedness allows for processes which are not restricted to be elements of some norm closure of the ∗-algebra which is generated by the basic creation processes.
LA - eng
KW - integration of time-adapted processes; creation; annihilating; conservation; Fock space; -algebra
UR - http://eudml.org/doc/208858
ER -
References
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- [5] B. Kümmerer and R. Speicher, Stochastic integration on the Cuntz algebra , J. Funct. Anal. 103 (1992), 372-408. Zbl0787.46052
- [6] M. Skeide, Hilbert modules in quantum electro dynamics and quantum probability, Commun. Math. Phys. 192 (1998), 569-604. Zbl0928.46063
- [7] M. Skeide, Quantum stochastic calculus on full Fock modules, Preprint, Cottbus, 1998, in preparation.
- [8] R. Speicher, Stochastic integration on the full Fock space with the help of a kernel calculus, Publ. RIMS Kyoto Univ. 27 (1991), 149-184. Zbl0728.60060
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