Applications of the Fundamental Theorems of Projective and Affine Geometry in Physics

被引：0
|
作者：
Moylan, Patrick [1 ]
机构：
[1] Penn State Univ, Dept Phys, Abington Coll, Abington, PA 19001 USA
来源：
GEOMETRIC METHODS IN PHYSICS XXXVII | 2020年
关键词：
Wigner's theorem; Alexandrov Zeeman Theorem;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The closely related fundamental theorems of projective and affine geometry are keys to understanding some important but seemingly unrelated topics in mathematical physics. Specifically, they can be used in proofs of Wigner's theorem on ray correspondences in quantum mechanics and also to establish the scale extended Poincare group as the basic causality preserving symmetry group of special relativity. We describe these two theorems and show their roles in establishing the just mentioned results.
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页码：181 / 187
页数：7
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