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Wick calculus of generalized operators and its applications to quantum stochastic calculus
Huang, ZY; Luo, SL
1998-07-01
发表期刊INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS
ISSN0219-0257
卷号1期号:3页码:455-466
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.
语种英语
WOS研究方向Mathematics ; Physics
WOS类目Mathematics, Applied ; Physics, Mathematical ; Statistics & Probability
WOS记录号WOS:000082181400006
出版者WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/13779
专题应用数学研究所
通讯作者Huang, ZY
作者单位1.Huazhong Univ Sci & Technol, Dept Math, Wuhan 430074, Hubei, Peoples R China
2.Acad Sinica, Inst Appl Math, Beijing 100080, Peoples R China
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GB/T 7714
Huang, ZY,Luo, SL. Wick calculus of generalized operators and its applications to quantum stochastic calculus[J]. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS,1998,1(3):455-466.
APA Huang, ZY,&Luo, SL.(1998).Wick calculus of generalized operators and its applications to quantum stochastic calculus.INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS,1(3),455-466.
MLA Huang, ZY,et al."Wick calculus of generalized operators and its applications to quantum stochastic calculus".INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 1.3(1998):455-466.
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