2015/02/04 by Esteban Castro-Ruiz, Eduardo Nahmad-Achar · 5 citations
Computer Science · Mathematics · Physics and Astronomy · #Angular momentum #Bispinor #CPT symmetry #Classical mechanics #Four-momentum #Four-vector #Invariant (physics) #Linear subspace #Lorentz covariance #Lorentz group #Lorentz transformation #Mathematics #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Quantum optics and atomic interactions #Spin (aerodynamics) #quant-ph
paper · pdf · doi:10.1088/0031-8949/90/6/068018
published in Physica Scripta 90(6), 068018 (IOP Publishing) · 17 pages, 7 figures
arxiv created 2015/02/04 · openalex publication_date 2015/05/13 · arxiv updated 2015/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Lorentz boosts applied to particles with spin and momentum degrees of freedom induce momentum-dependent rotations. As, in general, different particles have different momenta, the transformation of the whole state is not a representation of the rotation group. Here we identify the group that acts on a two-particle system and, for the case where the momenta of the particles are correlated, find invariant subspaces that have interesting properties for quantum information processes in relativistic scenarios. A basis of states for the study of transformations of spin states under Lorentz boosts is proposed, which is a good candidate for use in building quantum communication protocols in relativistic scenarios.