| 一类Uhlhorn-Wigner定理的推广(英文) |
| |
| 引用本文： | 贺衎,侯晋川.一类Uhlhorn-Wigner定理的推广(英文)[J].数学研究,2012,45(2):107-114. |
| |
| 作者姓名： | 贺衎 侯晋川 |
| |
| 作者单位： | 太原理工大学,山西太原,030024 |
| |
| 基金项目： | supported by NSFC(11171249,11126127) |
| |
| 摘 要： | 投影算子集合是量子力学理论中的重要概念之一.利用几何平均值单调内积得到了量子力学基本定理之一Uhlhorn-Wigner定理在投影算子集合上的一类推广.
|
| 关 键 词： | Uhlhorn-Wigner定理 单调内积 投影算子 |
A Generalization of Uhlhorn＇s Version of Wigner＇s Theorem |
| |
| He Kan Hou Jinchuan.A Generalization of Uhlhorn＇s Version of Wigner＇s Theorem[J].Journal of Mathematical Study,2012,45(2):107-114. |
| |
| Authors: | He Kan Hou Jinchuan |
| |
| Institution: | He Kan Hou Jinchuan (College of Mathematics,Institute of Mathematics,Taiyuan University of Technology,Taiyuan Shanxi 030024) |
| |
| Abstract: | Certain operator structures play a fundamental role in the theory of quantum mechanics, such as the set of projections.In this paper,we give an analogue of Uhlhorn’s version of Wigner’s theorem on such operator structures for the monotone inner product associated with geometric mean. |
| |
| Keywords: | Wigner's theorem Monotone inner products Projections |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
