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Spinors for everyone

Abstract : It is hard to find intuition for spinors in the literature. We provide this intuition by explaining all the underlying ideas in a way that can be understood by everybody who knows the definition of a group, complex numbers and matrix algebra. We first work out these ideas for the representation SU(2) of the three-dimensional rotation group in R 3. In a second stage we generalize the approach to rotation groups in vector spaces R n of arbitrary dimension n > 3, endowed with an Euclidean metric. The reader can obtain this way an intuitive understanding of what a spinor is. We discuss the meaning of making linear combinations of spinors.
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https://hal-cea.archives-ouvertes.fr/cea-01572342
Contributor : Gerrit Coddens <>
Submitted on : Monday, August 7, 2017 - 5:15:54 AM
Last modification on : Sunday, August 2, 2020 - 5:26:06 AM

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  • HAL Id : cea-01572342, version 1

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Gerrit Coddens. Spinors for everyone. 2017. ⟨cea-01572342⟩

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