The exponential of the spin representation of the Lorentz algebra

Details The exponential of the spin representation of the Lorentz algebra The exponential of the spin representation of the Lorentz algebra

2012-01-29

arxiv.org/abs/1201.6047v1

Physics

Mathematical Physics

Scientific paper

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.

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