标题： 电磁场可测量性的玻尔-罗森菲尔德分析中的几何因素 显示英文标题

标题： Geometric factors in the Bohr--Rosenfeld analysis of the measurability of the electromagnetic field

摘要： 场对易子和测量装置的弹簧常数中的几何因子，在玻尔和罗森菲尔德关于电磁场可测量性著名分析中，使用傅里叶-贝塞尔方法来计算折叠积分，这使得能够将一般的几何因子表示为傅里叶-贝塞尔级数。当这些因子定义的空间区域为球形时，傅里叶-贝塞尔级数项由基本函数给出，并使用计算折叠积分的标准傅里叶积分方法，几何因子可以表示为易于处理的闭式表达式。 显示英文摘要

摘要： The Geometric factors in the field commutators and spring constants of the measurement devices in the famous analysis of the measurability of the electromagnetic field by Bohr and Rosenfeld are calculated using a Fourier--Bessel method for the evaluation of folding integrals, which enables one to obtain the general geometric factors as a Fourier--Bessel series. When the space region over which the factors are defined are spherical, the Fourier--Bessel series terms are given by elementary functions, and using the standard Fourier-integral method of calculating folding integrals, the geometric factors can be evaluated in terms of manageable closed-form expressions.