Comment on "Quantum time and spatial localization: an analysis of the Hegerfeldt paradox" [J. Math. Phys. 41, 6093 (2000)]

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2020

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Von Zuben [J. Math. Phys. 41, 6093 (2000)] proposed a resolution to spatial localization problems related to Hegerfeldt’s paradox. To do so, he applied Dirac’s formalism to a free spinless massive particle to introduce a new perspective in which this paradox could be interpreted as an apparent phenomenon. However, although being a physically interesting proposal, here we show that its main result was obtained using an incomplete basis for the physical Hilbert space, the correction of which invalidates the proposed resolution.

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TAILLEBOIS, E. R. F.; AVELAR, A. T. Comment on "Quantum time and spatial localization: an analysis of the Hegerfeldt paradox" [J. Math. Phys. 41, 6093 (2000)]. Journal of Mathematical Physics, College Park, v. 61, e104101, 2020. DOI: 10.1063/5.0012648. Disponível em: https://pubs.aip.org/aip/jmp/article/61/10/104101/619502/Comment-on-Quantum-time-and-spatial-localization. Acesso em: 13 set. 2023.