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

In: Quantum Theory, Groups and Representations

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  • Peter Woit

    (Columbia University, Department of Mathematics)

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.

Suggested Citation

  • Peter Woit, 2017. "Rotations and the Spin $$\frac{1}{2}$$ Particle in a Magnetic Field," Springer Books, in: Quantum Theory, Groups and Representations, chapter 0, pages 87-101, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-64612-1_7
    DOI: 10.1007/978-3-319-64612-1_7
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