Abstract
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.
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Notes
- 1.
Matrices (4.10) are called the Pauli matrices and are usually designated by σ α.
References
Sedov, L.I.: Introduction to the Mechanics of a Continuous Medium. Addison-Wesley Pub. Co., Reading, MA (1965)
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Zhelnorovich, V.A. (2019). Spinors in Three-Dimensional Euclidean Spaces. In: Theory of Spinors and Its Application in Physics and Mechanics. Springer, Cham. https://doi.org/10.1007/978-3-030-27836-6_4
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DOI: https://doi.org/10.1007/978-3-030-27836-6_4
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