dorsal/arxiv
View SchemaLocalization and Causality for a free particle
| Authors | N. Barat, J. C. Kimball |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0111060 |
| URL | https://arxiv.org/abs/quant-ph/0111060 |
| DOI | 10.1016/S0375-9601(02)01806-6 |
| Journal | Physics Letters A vol.308(2003)110-115 |
Abstract
Theorems (most notably by Hegerfeldt) prove that an initially localized particle whose time evolution is determined by a positive Hamiltonian will violate causality. We argue that this apparent paradox is resolved for a free particle described by either the Dirac equation or the Klein-Gordon equation because such a particle cannot be localized in the sense required by the theorems.
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"abstract": "Theorems (most notably by Hegerfeldt) prove that an initially localized\nparticle whose time evolution is determined by a positive Hamiltonian will\nviolate causality. We argue that this apparent paradox is resolved for a free\nparticle described by either the Dirac equation or the Klein-Gordon equation\nbecause such a particle cannot be localized in the sense required by the\ntheorems.",
"arxiv_id": "quant-ph/0111060",
"authors": [
"N. Barat",
"J. C. Kimball"
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"doi": "10.1016/S0375-9601(02)01806-6",
"journal_ref": "Physics Letters A vol.308(2003)110-115",
"title": "Localization and Causality for a free particle",
"url": "https://arxiv.org/abs/quant-ph/0111060"
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