Spinors in Three-Dimensional Euclidean Spaces

  • Vladimir A. Zhelnorovich


For the three-dimensional complex Euclidean vector space \(E_3^+ \) the dimension of the corresponding spinor space is equal to 2, while the components of invariant spin-tensors \(\overset {\,\circ }\gamma _{\alpha } = \|\overset {\,\circ }{\gamma }{ }^B_{\alpha A}\| \) (α = 1, 2, 3; A, B = 1, 2) are represented by two-dimensional matrices.


  1. 62.
    Sedov, L.I.: Introduction to the Mechanics of a Continuous Medium. Addison-Wesley Pub. Co., Reading, MA (1965)zbMATHGoogle Scholar

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Authors and Affiliations

  • Vladimir A. Zhelnorovich
    • 1
  1. 1.Institute of MechanicsMoscow State UniversityMoscowRussia

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