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arXiv · 1201.6047

The exponential of the spin representation of the Lorentz algebra

Jason Hanson
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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.

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Jason Hanson. 2012-01-29. The exponential of the spin representation of the Lorentz algebra. https://arxiv.org/abs/1201.6047

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