Generalized composition law from 2x2 matrices
Optics
2009-10-13 v1 Classical Physics
Quantum Physics
Abstract
Many results that are difficult can be found more easily by using a generalization in the complex plane of Einstein's addition law of parallel velocities. Such a generalization is a natural way to add quantities that are limited to bounded values. We show how this generalization directly provides phase factors such as the Wigner angle in special relativity and how this generalization is connected in the simplest case with the composition of 2x2 S matrices.
Cite
@article{arxiv.0907.1231,
title = {Generalized composition law from 2x2 matrices},
author = {R. Giust and J. -M. Vigoureux and J. Lages},
journal= {arXiv preprint arXiv:0907.1231},
year = {2009}
}
Comments
Accepted for publication in Am. J. Phys