Quantum stochastic calculus on Boolean Fock space

被引：12
|
作者：
Ben Ghorbal, A [1 ]
Schürmann, M [1 ]
机构：
[1] Ernst Moritz Arndt Univ Greifswald, Inst Math & Informat, D-17487 Greifswald, Germany
来源：
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS | 2004年 / 7卷 / 04期
关键词：
quantum stochastic calculus; Boolean independence; dilation; quantum dynamical semigroup;
D O I：
10.1142/S0219025704001815
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we establish a theory of stochastic integration with respect to the basic field operator processes in the Boolean case. This leads to a Boolean version of quantum Ito's product formula and has applications to the theory of dilations of quantum dynamical semigroups.
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页码：631 / 650
页数：20
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