Rotations and the Spin $$\frac{1}{2}$$ Particle in a Magnetic Field

Peter Woit ()
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Peter Woit: Columbia University, Department of Mathematics

Chapter Chapter 7 in Quantum Theory, Groups and Representations, 2017, pp 87-101 from Springer

Abstract: 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.

Date: 2017
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DOI: 10.1007/978-3-319-64612-1_7

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