dorsal/arxiv
View SchemaPoincar\'e covariance of relativistic quantum position
| Authors | Sz. Farkas, Z. Kurucz, M. Weiner |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0009102 |
| URL | https://arxiv.org/abs/quant-ph/0009102 |
| Journal | Int.J.Theor.Phys. 41 (2002) 79-88 |
Abstract
A great number of problems of relativistic position in quantum mechanics are due to the use of coordinates which are not inherent objects of spacetime, cause unnecessary complications and can lead to misconceptions. We apply a coordinate-free approach to rule out such problems. Thus it will be clear, for example, that the Lorentz covariance of position, required usually on the analogy of Lorentz covariance of spacetime coordinates, is not well posed and we show that in a right setting the Newton--Wigner position is Poincar\'e covariant, in contradiction with the usual assertions.
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"abstract": "A great number of problems of relativistic position in quantum mechanics are\ndue to the use of coordinates which are not inherent objects of spacetime,\ncause unnecessary complications and can lead to misconceptions. We apply a\ncoordinate-free approach to rule out such problems. Thus it will be clear, for\nexample, that the Lorentz covariance of position, required usually on the\nanalogy of Lorentz covariance of spacetime coordinates, is not well posed and\nwe show that in a right setting the Newton--Wigner position is Poincar\\\u0027e\ncovariant, in contradiction with the usual assertions.",
"arxiv_id": "quant-ph/0009102",
"authors": [
"Sz. Farkas",
"Z. Kurucz",
"M. Weiner"
],
"categories": [
"quant-ph",
"hep-th"
],
"journal_ref": "Int.J.Theor.Phys. 41 (2002) 79-88",
"title": "Poincar\\\u0027e covariance of relativistic quantum position",
"url": "https://arxiv.org/abs/quant-ph/0009102"
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