2021/10/15 by K. S. Karplyuk, Karplyuk, K. S., Oleksandr Zhmudskyy +1
Engineering · Physics and Astronomy · #Advanced X-ray Imaging Techniques #Crystallography and Radiation Phenomena #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle Accelerators and Free-Electron Lasers #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.2110.09892
openalex publication_date 2021/10/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It was shown that in the small Wigner group there is a one-parameter subgroup of the Lorentz transformations, which leave unchanged not only the momentum of the fermion with spin h/2, but also its spin characteristics. This is the group of symmetry transformations of the moving fermion. These transformations consist of rotations around the projection axis of the spin and boosts coordinated with them. In other words, there are infinitely many frames of reference in which the fermion has the same momentum and the same spin projection onto the selected axis, although these frames move relative to each other and have been rotated relative to each other.