Generalized composition law from 2x2 matrices

Details Generalized composition law from 2x2 matrices Generalized composition law from 2x2 matrices

2009-07-07

arxiv.org/abs/0907.1231v1

Am. J. Phys. 77, 1068-1073 (2009)

Physics

Optics

Accepted for publication in Am. J. Phys

Scientific paper

10.1119/1.3152955

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.

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