Localization and Causality for a free particle

Details Localization and Causality for a free particle Localization and Causality for a free particle

2001-11-09

arxiv.org/abs/quant-ph/0111060v2

Physics Letters A vol.308(2003)110-115

Physics

Quantum Physics

9 pages,no figures,new section added

Scientific paper

10.1016/S0375-9601(02)01806-6

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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