Wick calculus of generalized operators and its applications to quantum stochastic calculus

被引：11
|
作者：
Huang, ZY [1 ]
Luo, SL
机构：
[1] Huazhong Univ Sci & Technol, Dept Math, Wuhan 430074, Hubei, Peoples R China
[2] Acad Sinica, Inst Appl Math, Beijing 100080, Peoples R China
来源：
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS | 1998年 / 1卷 / 03期
关键词：
D O I：
10.1142/S0219025798000247
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A nonlinear and stochastic analysis of free Bose field is established in the framework of white noise calculus. Wick algebra structure is introduced in the space of generalized operators generated by quantum white noise, some fundamental properties of the calculus based on the Wick algebra are investigated. As applications, quantum stochastic integrals and quantum stochastic differential equations are treated from the viewpoint of Wick calculus.
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页码：455 / 466
页数：12
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