2009/07/07 by R. Giust, Remo Giust, J. M. Vigoureux +3
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #History and Theory of Mathematics #Mathematics and Applications #physics.class-ph #physics.optics #quant-ph
paper · pdf · doi:10.1119/1.3152955
published as Am. J. Phys. 77, 1068-1073 (2009) · Accepted for publication in Am. J. Phys
arxiv created 2009/07/07 · openalex publication_date 2009/10/12 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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 related in the simplest case to the composition of 2×2 S-matrices.