Wigner’s Theorem in <i>s</i>* and <i>s<sub>n</sub>(H)</i>Spaces

• 作者: Meimei Song Shunxin Zhao
• 来源期刊: 美国计算数学期刊(英文)
• 学科: 数学
• 关键词: s SPACE Wigner’s THEOREM Phase Equivalent Linear ISOMETRY sn(H) SPACE
• 年，卷（期）: 2018,（3）
• 页码范围: 209-221
• 页数: 13页
• 分类号: O1

摘要

Wigner theorem is the cornerstone of the mathematical formula of quan-tum mechanics, it has promoted the research of basic theory of quantum mechanics. In this article, we give a certain pair of functional equations between two real spaces s or two real sn(H), that we called “phase isometry”. It is obtained that all such solutions are phase equivalent to real linear isometries in the space s and the space sn(H).