dorsal/arxiv
View SchemaManifestly Covariant Approach to Bargmann-Wigner Fields (II): From spin-frames to Bargmann-Wigner spinors
| Authors | Marek Czachor |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9602008 |
| URL | https://arxiv.org/abs/quant-ph/9602008 |
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 Poincar\'e group.
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"abstract": "The Bargmann-Wigner (BW) scalar product is a particular case of a larger\nclass of scalar products parametrized by a family of world-vectors. The choice\nof null and $p$-dependent world-vectors leads to BW amplitudes which behave as\nlocal $SU(2)$ spinors (BW-spinors) if {\\it passive\\/} transformations are\nconcerned. The choice of null directions leads to a simplified formalism which\nallows for an application of ordinary, manifestly covariant spinor techniques\nin the context of infinite dimensional unitary representations of the\nPoincar\\\u0027e group.",
"arxiv_id": "quant-ph/9602008",
"authors": [
"Marek Czachor"
],
"categories": [
"quant-ph",
"gr-qc",
"hep-th"
],
"title": "Manifestly Covariant Approach to Bargmann-Wigner Fields (II): From spin-frames to Bargmann-Wigner spinors",
"url": "https://arxiv.org/abs/quant-ph/9602008"
},
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