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Space-time events and relativistic particle localization

1993/10/11 by J. Mourad, Mourad, J.
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Radioactive Decay and Measurement Techniques #gr-qc #hep-th

paper · pdf · doi:10.48550/arxiv.gr-qc/9310018

13 pages, LPTHE 93/41

arxiv created 1993/10/11 · openalex publication_date 1993/10/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A relation expressing the covariant transformation properties of a relativistic position operator is derived. This relation differs from the one existing in the literature expressing manifest covariance by some factor ordering. The relation is derived in order for the localization of a particle to represent a space-time event. It is shown that there exists a conflict between this relation and the hermiticity of a positive energy position operator.

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