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Manifestly Covariant Approach to Bargmann-Wigner Fields (II): From spin-frames to Bargmann-Wigner spinors

1996/02/12 by Marek Czachor, Czachor, Marek
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Quantum Physics (quant-ph) #gr-qc #hep-th #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/9602008

revtex, 14 pages

arxiv created 1996/02/12 · arxiv updated 2009/11/30

Abstract

The Bargmann-Wigner (BW) scalar product is a particular case of a larger class of scalar products parametrized by a family of world-vectors. The choice of null and p-dependent world-vectors leads to BW amplitudes which behave as local SU(2) spinors (BW-spinors) if \it passive\/ transformations are concerned. The choice of null directions leads to a simplified formalism which allows for an application of ordinary, manifestly covariant spinor techniques in the context of infinite dimensional unitary representations of the Poincaré group.

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