Implementing symmetries of a free Bose field via white noise operators

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	Implementing symmetries of a free Bose field via white noise operators
	Luo, SL
	2003
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	19 期号:1 页码:147-158
摘要	Linear symmetries of a free Bose field are exploited in the framework of Hida's white noise functionals triple. General symplectic automorphisms on the single particle space are implemented by generalized operators. The intertwining operators are constructed in a physically intuitive way, characterized analytically in terms of symbols, and factorized into three fundamental parts according to Wick ordering procedure. In particular, the classical Shale's theorem is rederived.
关键词	free Bose field symplectic automorphisms symbols Gaussian kernel operators
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000180848500014
出版者	SPRINGER-VERLAG BERLIN
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18266
专题	应用数学研究所
通讯作者	Luo, SL
作者单位	Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Luo, SL. Implementing symmetries of a free Bose field via white noise operators[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2003,19(1):147-158.
APA	Luo, SL.(2003).Implementing symmetries of a free Bose field via white noise operators.ACTA MATHEMATICA SINICA-ENGLISH SERIES,19(1),147-158.
MLA	Luo, SL."Implementing symmetries of a free Bose field via white noise operators".ACTA MATHEMATICA SINICA-ENGLISH SERIES 19.1(2003):147-158.