dorsal/arxiv
View SchemaPoincare group operators with 4-vector position
| Authors | Shaun N Mosley |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0401104 |
| URL | https://arxiv.org/abs/quant-ph/0401104 |
Abstract
We present a new set of massless Poincar\'e group operators Hermitian with respect to the $ 1 / r $ inner product space, which have quasi-plane wave energy-momentum eigenfunctions having velocity $ c $ along their axis of propagation. These are constructed by means of a unitary transformation from a known set of massless Poincar\'e group operators of helicity $ s = 0, \pm {1 \over 2}, \pm 1 ... $ The position vector $ {\bf r} $ is the space part of a null 4-vector.
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"date_created": "2026-03-02T18:02:06.864000Z",
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"abstract": "We present a new set of massless Poincar\\\u0027e group operators Hermitian with\nrespect to the $ 1 / r $ inner product space, which have quasi-plane wave\nenergy-momentum eigenfunctions having velocity $ c $ along their axis of\npropagation. These are constructed by means of a unitary transformation from a\nknown set of massless Poincar\\\u0027e group operators of helicity $ s = 0, \\pm {1\n\\over 2}, \\pm 1 ... $ The position vector $ {\\bf r} $ is the space part of a\nnull 4-vector.",
"arxiv_id": "quant-ph/0401104",
"authors": [
"Shaun N Mosley"
],
"categories": [
"quant-ph"
],
"title": "Poincare group operators with 4-vector position",
"url": "https://arxiv.org/abs/quant-ph/0401104"
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