GEOMETRIC INTERPRETATION OF WIGNER SPIN ROTATION

Authors

  • B. A. Rajabov

Keywords:

Poincarè group ISO(3, 1), spherical geometry, hyperbolic geometry, unitary ray representations, small group, Wigner's operator

Abstract

This paper is devoted to the application of the Wigner method of constructing representations of the quantum-mechanical Poincaré group ISO(3.1) using the small group method and its application in the theory of elementary particles. Explicit formulas are given for the angles of rotation of the spin during Lorentz turns, and geometric interpretations of the results of Wigner's theory in terms of spherical and hyperbolic geometries are given. The results admit a direct generalization to the cosmological groups SO(4, 1) and SO(3, 2).

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Published

2024-03-06

Issue

Vol. 15 No. 2 (2020)

Section

Articles