Abstract
We develop the theory of symmetry for a two-level quantum system in oder to illustrate the main ideas of the general theory of symmetry in quantum theory. It is based on the diffeomorphism of the two-dimensional sphere S2 onto the space of states ℂP1 and the isomorphism between the groups Pℳ(2) and SO 3 (ℝ). In particular, rotational invariance leads to the appearance of the spin1/2 in a natural way.
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Cariñena, J.F., Santander, M. Symmetry theory in a two-level quantum system. Found Phys 15, 851–859 (1985). https://doi.org/10.1007/BF00738318
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DOI: https://doi.org/10.1007/BF00738318