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Comment on “Quantum time and spatial localization: An analysis of the Hegerfeldt paradox” [J. Math. Phys. 41, 6093 (2000)]
Journal of Mathematical Physics ( IF 1.3 ) Pub Date : 2020-10-01 , DOI: 10.1063/5.0012648
E. R. F. Taillebois 1 , A. T. Avelar 2
Affiliation  

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.

中文翻译:

评《量子时空定位:黑格费尔德悖论分析》[J. 数学。物理。41, 6093 (2000)]

冯祖本 [J. 数学。物理。41, 6093 (2000)] 提出了与 Hegerfeldt 悖论相关的空间定位问题的解决方案。为此,他将狄拉克的形式主义应用于自由无自旋的大质量粒子,以引入一个新的视角,将这个悖论解释为一个明显的现象。然而,虽然这是一个物理上有趣的提议,但在这里我们表明它的主要结果是使用物理希尔伯特空间的不完整基获得的,其修正使提议的分辨率无效。
更新日期:2020-10-01
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