Elementary Proof of Moretti's Polar Decomposition Theorem for Lorentz Transformations
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
A proof more elementary than the original one is given for Moretti's theorem that the usual polar decomposition of real matrices when applied to an orthochronous proper Lorentz matrix yields just its standard rotation-boost decomposition. (The complex SL(2,C) analog is well-known.)
Cite
@article{arxiv.math-ph/0211077,
title = {Elementary Proof of Moretti's Polar Decomposition Theorem for Lorentz Transformations},
author = {Helmuth K. Urbantke},
journal= {arXiv preprint arXiv:math-ph/0211077},
year = {2007}
}
Comments
2 pages, LaTex