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Relativistic Wave Equations in the Helicity Basis

2002/11/14 by V. V. Varlamov
Physics and Astronomy · Mathematics · #math-ph #hep-th #math.MP #quant-ph #msc:22E43 #msc:35Q40 #msc:22E70

paper · pdf

published as Hadronic J. 26 (2003) 275-298 · 22 pages, LaTeX2e

arxiv created 2002/11/14 · arxiv updated 2009/11/30

Abstract

The principal series of unitary representations of the Lorentz group has been considered in the helicity basis. Decompositions of tensor products of the spinspaces are studied in the framework of projective representations of the symmetric group. Higher-spin Gel'fand-Yaglom equations are defined in the helicity basis over an arbitrary representation space. Applications of decomposable and indecomposable Gel'fand-Yaglom equations to particle physics are discussed.

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