Thomas precession, Wigner rotations and gauge transformations

Physics

Scientific paper

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Coordinate Transformations, Gauge Theory, Precession, Wigner Coefficient, Lorentz Transformations, Space-Time Functions, Spin-Orbit Interactions

Scientific paper

The exact Lorentz kinematics of the Thomas precession is discussed in terms of Wigner's O(3)-like little group which describes rotations in the Lorentz frame in which the particle is at rest. A Lorentz-covariant form for the Thomas factor is derived. It is shown that this factor is a Lorentz-boosted rotation matrix, which becomes a gauge transformation in the infinite-momentum or zero-mass limit.

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