Wigner-type theorem on transition probability preserving maps in semifinite factors
文献类型：期刊论文
| 作者 | Qian, Wenhua1; Wang, Liguang2; Wu, Wenming1; Yuan, Wei3,4
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| 刊名 | JOURNAL OF FUNCTIONAL ANALYSIS
 |
| 出版日期 | 2019-03-15 |
| 卷号 | 276期号:6页码:1773-1787 |
| 关键词 | Wigner's theorem Semifinite factor Grassmann spaces Transition probability |
| ISSN号 | 0022-1236 |
| DOI | 10.1016/j.jfa.2018.05.019 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000458347000003 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/32393]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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