Symmetries Shared by the Poincare Group and the Poincare Sphere

被引：6

作者：

Kim, Young S. ^{[1
]}

Noz, Marilyn E. ^{[2
]}

机构：

[1] Univ Maryland, Ctr Fundamental Phys, College Pk, MD 20742 USA

[2] NYU, Dept Radiol, New York, NY 10016 USA

来源：

SYMMETRY-BASEL | 2013年 / 5卷 / 03期

关键词：

Poincare group; Poincare sphere; Wigner's little groups; particle mass; decoherence mechanism; two-by-two representations; Lorentz group; POLARIZATION OPTICS; REPRESENTATION;

D O I：

10.3390/sym5030233

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Henri Poincare formulated the mathematics of Lorentz transformations, known as the Poincare group. He also formulated the Poincare sphere for polarization optics. It is shown that these two mathematical instruments can be derived from the two-by-two representations of the Lorentz group. Wigner's little groups for internal space-time symmetries are studied in detail. While the particle mass is a Lorentz-invariant quantity, it is shown to be possible to address its variations in terms of the decoherence mechanism in polarization optics.

引用

页码：233 / 252

页数：20

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