The symmetry properties of elementary particles can be divided into two classes: space-time properties and internal properties. These properties are described by the spatial symmetry groups and the internal symmetry groups, respectively. Of the spatial symmetry groups, the Lorentz group and the Poincaré group are of most interest to us, while of the internal symmetry groups, those of interest are the unitary groups U1, SU2, SU3, and SU4.
KeywordsWave Function Lorentz Group Spinor Field Relativistic Invariance Internal Symmetry
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