An alternative proof of Wigner theorem on quantum transformations based on elementary complex analysis

被引:10
作者
Mouchet, Amaury [1 ]
机构
[1] Univ Tours, CNRS, Lab Math & Phys Theor, UMR 7350, F-37200 Tours, France
关键词
Wigner theorem; Symmetry; Unitary representations;
D O I
10.1016/j.physleta.2013.08.017
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
According to Wigner theorem, transformations of quantum states which preserve the probabilities are either unitary or antiunitary. This Letter presents an elementary proof of this theorem that significantly departs from the numerous ones already existing in the literature. The main line of the argument remains valid even in quantum field theory where Hilbert spaces are non-separable. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码:2709 / 2711
页数:3
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