TITLE:
Wigner’s Theorem in s* and sn(H) Spaces
AUTHORS:
Meimei Song, Shunxin Zhao
KEYWORDS:
s Space, Wigner’s Theorem, Phase Equivalent, Linear Isometry, sn(H) Space
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.8 No.3,
September
7,
2018
ABSTRACT: 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).