2004/09/30 by N. L. Harshman
Chemistry · Computer Science · Physics and Astronomy · #Molecular spectroscopy and chirality #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph
paper · pdf · doi:10.1103/physreva.71.022312
published as Phys. Rev. A 71, 022312 (2005) · 19 pages, three tables, revtex
openalex publication_date 2005/02/18 · arxiv created 2005/05/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In several recent papers on entanglement in relativistic quantum systems and relativistic Bell's inequalities, relativistic Bell-type two-particle states have been constructed in analogy to nonrelativistic states. These constructions do not have the form suggested by relativistic invariance of the dynamics. Two relativistic formulations of Bell-type states are shown for massive particles, one using the standard Wigner spin basis and one using the helicity basis. The construction hinges on the use of Clebsch-Gordan coefficients of the Poincar'e group to reduce the direct product of two unitary irreducible representations (UIRs) into a direct sum of UIRs.