English

Wigner rotation and Euler angle parametrization

Classical Physics 2023-12-29 v2 General Relativity and Quantum Cosmology

Abstract

Analogous to the famous Euler angle parametrization in three-dimensional Euclidean space, a reflection-free Lorentz transformation in (2+1)-dimensional Minkowski space can be decomposed into three simple parts. Applying this decomposition to the Wigner rotation problem, we are able to show the related mathematics becomes much simpler and the physical meanings more comprehensible and enlightening.

Keywords

Cite

@article{arxiv.2206.12406,
  title  = {Wigner rotation and Euler angle parametrization},
  author = {Leehwa Yeh},
  journal= {arXiv preprint arXiv:2206.12406},
  year   = {2023}
}

Comments

V1: 12 pages. V2: 13 pages; Introduction strengthened, references added, typos corrected

R2 v1 2026-06-24T12:03:22.514Z