Abstract
Irreducible real representations of the rotations \(\mathbf{SO}(3)\) act on vector spaces with odd dimensions \(1+2l\) for angular momentum \(l\in \{0, 1, 2,\ldots \}\), e.g., on three-dimensional Euclidean position \(\mathbb E^3\) with \(l=1\). Those of the group \(\mathbf{SU}(2)\) act on complex spaces with dimensions \(1+2j\) for spin \(j\in \{0,{1\over 2}, 1, {3\over 2},\ldots \}\), i.e., also on even-dimensional spaces, e.g., on Pauli spinors from \(\mathbb C^2\), or as seen in the twofold split of the silver atom rays.
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- 1.
Samuel Goudsmit (1902–1978), George Uhlenbeck (1900–1988).
- 2.
Chien-Shiung Wu (1912–1997), Tsung-Dao Lee (1926–), Chen Ning (Frank) Yang (1922–).
- 3.
James Cronin (1931–), Val Fitch (1923–).
- 4.
Issai Schur (1875–1941), William Burnside (1852–1927).
- 5.
Ettore Majorana (1906–1938(?)).
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Saller, H. (2017). The Hall of Mirrors. In: Operational Symmetries. Springer, Cham. https://doi.org/10.1007/978-3-319-58664-9_6
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DOI: https://doi.org/10.1007/978-3-319-58664-9_6
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