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

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

1996-02-12

arxiv.org/abs/quant-ph/9602008v1

Physics

Quantum Physics

revtex, 14 pages

Scientific paper

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 Poincar\'e group.

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