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Symmetry theory in a two-level quantum system

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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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Authors and Affiliations

  1. Departamento de Física Teórica, Facultad de Ciencias, Universidad de Zaragoza, 50.009, Zaragoza, Spain

    José F. Cariñena

  2. Departamento de Física Teórica, Facultad de Ciencias, Universidad de Valladolid, 47011, Valladolid, Spain

    Mariano Santander

Authors
  1. José F. Cariñena
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  2. Mariano Santander
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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

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