Wigner-type theorem on transition probability preserving maps in semifinite factors

doi:10.1016/j.jfa.2018.05.019

CSpace > 数学所

	Wigner-type theorem on transition probability preserving maps in semifinite factors
	Qian, Wenhua 1; Wang, Liguang 2; Wu, Wenming 1; Yuan, Wei3,4
	2019-03-15
发表期刊	JOURNAL OF FUNCTIONAL ANALYSIS
ISSN	0022-1236
卷号	276 期号:6 页码:1773-1787
摘要	The Wigner's theorem, which is one of the cornerstones of the mathematical formulation of quantum mechanics, asserts that every symmetry of quantum system is unitary or anti-unitary. This classical result was first given by Wigner in 1931. Thereafter it has been proved and generalized in various ways by many authors. Recently, G.P. Geller extended Wigner's and Molnar's theorems and characterized the transformations on the Grassmann space of all rank-n projections which preserve the transition probability. The aim of this paper is to provide a new approach to describe the general form of the transition probability preserving (not necessarily bijective) maps between Grassmann spaces. As a byproduct, we are able to generalize the results of Molnar and G.P. Geher. (C) 2018 Elsevier Inc. All rights reserved.
关键词	Wigner's theorem Semifinite factor Grassmann spaces Transition probability
DOI	10.1016/j.jfa.2018.05.019
语种	英语
资助项目	National Natural Science Foundation of China[11671133] ; National Natural Science Foundation of China[11371222] ; Youth Innovation Promotion Association, CAS
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000458347000003
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/32394
专题	数学所
通讯作者	Wu, Wenming
作者单位	1.Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China 2.Qufu Normal Univ, Sch Math Sci, Jining 273165, Shandong, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Qian, Wenhua,Wang, Liguang,Wu, Wenming,et al. Wigner-type theorem on transition probability preserving maps in semifinite factors[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2019,276(6):1773-1787.
APA	Qian, Wenhua,Wang, Liguang,Wu, Wenming,&Yuan, Wei.(2019).Wigner-type theorem on transition probability preserving maps in semifinite factors.JOURNAL OF FUNCTIONAL ANALYSIS,276(6),1773-1787.
MLA	Qian, Wenhua,et al."Wigner-type theorem on transition probability preserving maps in semifinite factors".JOURNAL OF FUNCTIONAL ANALYSIS 276.6(2019):1773-1787.