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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Construction of some quantum stochastic operator cocycles by the semigroup method.
AU - Lindsay, J. Martin
AU - Wills, Stephen J.
N1 - The original publication is available at www.springerlink.com
PY - 2006/11
Y1 - 2006/11
N2 - A new method for the construction of Fock-adapted operator Markovian cocycles is outlined, and its use is illustrated by application to a number of examples arising in physics and probability. The construction uses the Trotter-Kato Theorem and a recent characterisation of such cocycles in terms of an associated family of contraction semigroups.
AB - A new method for the construction of Fock-adapted operator Markovian cocycles is outlined, and its use is illustrated by application to a number of examples arising in physics and probability. The construction uses the Trotter-Kato Theorem and a recent characterisation of such cocycles in terms of an associated family of contraction semigroups.
KW - Quantum probability
KW - stochastic cocycle
KW - quantum stochastic differential equation
KW - contraction semigroup
KW - Trotter–Kato.
U2 - 10.1007/BF02829707
DO - 10.1007/BF02829707
M3 - Journal article
VL - 116
SP - 519
EP - 529
JO - Proceedings of the Indian Academy of Sciences (Mathematical Sciences)
JF - Proceedings of the Indian Academy of Sciences (Mathematical Sciences)
SN - 0253-4142
IS - 4 Issu
ER -