Wigner’s Theorem in s* and sn(H) Spaces - American Journal of Computational Mathematics

AJCM > Vol.8 No.3, September 2018

Wigner’s Theorem in s* and s_n(H) Spaces ()

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DOI: 10.4236/ajcm.2018.83017 703 Downloads 1,307 Views

Author(s)

Meimei Song, Shunxin Zhao^*

Affiliation(s)

Department of Mathematics, Tianjin University of Technology, Tianjin, China.

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 s_n(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 s_n(H).

KEYWORDS

s Space, Wigner’s Theorem, Phase Equivalent, Linear Isometry, s_n(H) Space

Share and Cite:

Song, M. and Zhao, S. (2018) Wigner’s Theorem in s* and s_n(H) Spaces. American Journal of Computational Mathematics, 8, 209-221. doi: 10.4236/ajcm.2018.83017.

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