The exponential of the spin representation of the Lorentz algebra
Mathematical Physics
2012-01-31 v1 math.MP
Quantum Physics
Abstract
As discussed in a previous article, any (real) Lorentz algebra element possess a unique orthogonal decomposition as a sum of two mutually annihilating decomposable Lorentz algebra elements. In this article, this concept is extended to the spin representation of the Lorentz algebra. As an application, a formula for the exponential of the spin representation is obtained, as well as a formula for the spin representation of a proper orthochronous Lorentz transformation.
Keywords
Cite
@article{arxiv.1201.6047,
title = {The exponential of the spin representation of the Lorentz algebra},
author = {Jason Hanson},
journal= {arXiv preprint arXiv:1201.6047},
year = {2012}
}