Abstract
The existence of a non-trivial double cover Spin(3) of the three-dimensional rotation group may seem to be a somewhat obscure mathematical fact. Remarkably though, the existence of fundamental spin \(\frac{1}{2}\) particles shows that it is Spin(3) rather than SO(3) that is the symmetry group corresponding to rotations of fundamental quantum systems.
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© 2017 Peter Woit
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Woit, P. (2017). Rotations and the Spin \(\frac{1}{2}\) Particle in a Magnetic Field. In: Quantum Theory, Groups and Representations. Springer, Cham. https://doi.org/10.1007/978-3-319-64612-1_7
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DOI: https://doi.org/10.1007/978-3-319-64612-1_7
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-64610-7
Online ISBN: 978-3-319-64612-1
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