Basis States for Relativistic, Dynamically-Entangled Particles

Details Basis States for Relativistic, Dynamically-Entangled Particles Basis States for Relativistic, Dynamically-Entangled Particles

2004-09-28

arxiv.org/abs/quant-ph/0409204v2

Phys. Rev. A 71, 022312 (2005)

Physics

Quantum Physics

19 pages, three tables, revtex

Scientific paper

10.1103/PhysRevA.71.022312

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 non-relativistic 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.

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