Time-of-arrival formalism for the relativistic particle
Autor: | Juan León |
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Rok vydání: | 1997 |
Předmět: |
Physics
Quantum Physics Detector Probabilistic logic Hilbert space FOS: Physical sciences General Physics and Astronomy Statistical and Nonlinear Physics Eigenfunction Relativistic particle symbols.namesake Time of arrival [PACS] Foundations theory of measurement miscellaneous theories [PACS] Canonical quantization symbols [PACS] Lorentz and Poincare invariance Quantum Physics (quant-ph) Klein–Gordon equation [PACS] Formalism Mathematical Physics Subspace topology Mathematical physics |
Zdroj: | Digital.CSIC. Repositorio Institucional del CSIC instname |
ISSN: | 1361-6447 0305-4470 |
DOI: | 10.1088/0305-4470/30/13/027 |
Popis: | A suitable operator for the time-of-arrival at a detector is defined for the free relativistic particle in .3 C 1/ dimensions. For each detector position there exists a subspace of detected states in the Hilbert space of solutions to the Klein¿Gordon equation. Orthogonality and completeness of the eigenfunctions of the time-of-arrival operator apply inside this subspace, opening up a standard probabilistic interpretation. c 1997 IOP Publishing Ltd |
Databáze: | OpenAIRE |
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