dorsal/arxiv
View SchemaQuantum Localisation Observables and Accelerated Frames
| Authors | Marc-Thierry Jaekel, Serge Reynaud |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9806097 |
| URL | https://arxiv.org/abs/quant-ph/9806097 |
| DOI | 10.1007/s100530050223 |
| Journal | Eur.Phys.J. D5 (1999) 9 |
Abstract
We define quantum observables associated with Einstein localisation in space-time. These observables are built on Poincare' and dilatation generators. Their commutators are given by spin observables defined from the same symmetry generators. Their shifts under transformations to uniformly accelerated frames are evaluated through algebraic computations in conformal algebra. Spin number is found to vary under such transformations with a variation involving further observables introduced as irreducible quadrupole momenta. Quadrupole observables may be dealt with as non commutative polarisations which allow one to define step operators increasing or decreasing the spin number by unity.
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"abstract": "We define quantum observables associated with Einstein localisation in\nspace-time. These observables are built on Poincare\u0027 and dilatation generators.\nTheir commutators are given by spin observables defined from the same symmetry\ngenerators. Their shifts under transformations to uniformly accelerated frames\nare evaluated through algebraic computations in conformal algebra. Spin number\nis found to vary under such transformations with a variation involving further\nobservables introduced as irreducible quadrupole momenta. Quadrupole\nobservables may be dealt with as non commutative polarisations which allow one\nto define step operators increasing or decreasing the spin number by unity.",
"arxiv_id": "quant-ph/9806097",
"authors": [
"Marc-Thierry Jaekel",
"Serge Reynaud"
],
"categories": [
"quant-ph",
"gr-qc"
],
"doi": "10.1007/s100530050223",
"journal_ref": "Eur.Phys.J. D5 (1999) 9",
"title": "Quantum Localisation Observables and Accelerated Frames",
"url": "https://arxiv.org/abs/quant-ph/9806097"
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