dorsal/arxiv
View SchemaRelativistic invariant projectors on a complex spinor space and a rule of polarizations summation in a complex bispinor space
| Authors | H. V. Grushevskaya |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0611193 |
| URL | https://arxiv.org/abs/quant-ph/0611193 |
Abstract
Relativistic invariant projectors of states in a complex bispinor space on a complex spinor space are constructed. An expression for sections of bundle with connection on group SU(4) in an explicit form has been obtained. Within the framework of the proposed geometrical approach the rule of summation over polarizations of states in a complex bispinor space has been derived. It has been shown that states in a complex bispinor space always describe a pair of Dirac's particles.
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"date_created": "2026-03-02T18:02:34.124000Z",
"date_modified": "2026-03-02T18:02:34.124000Z",
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"abstract": "Relativistic invariant projectors of states in a complex bispinor space on a\ncomplex spinor space are constructed. An expression for sections of bundle with\nconnection on group SU(4) in an explicit form has been obtained. Within the\nframework of the proposed geometrical approach the rule of summation over\npolarizations of states in a complex bispinor space has been derived. It has\nbeen shown that states in a complex bispinor space always describe a pair of\nDirac\u0027s particles.",
"arxiv_id": "quant-ph/0611193",
"authors": [
"H. V. Grushevskaya"
],
"categories": [
"quant-ph"
],
"title": "Relativistic invariant projectors on a complex spinor space and a rule of polarizations summation in a complex bispinor space",
"url": "https://arxiv.org/abs/quant-ph/0611193"
},
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