Abstract

An exact expression is obtained for harmonic fields in Maxwell electrodynamics with dilatons in terms of elliptic Jacobi functions and elliptic Legendre integrals. The case of centrally symmetric fields is considered individually and effective charges of all three types, that is, electric, magnetic, and dilaton charges, are calculated. An expression is given for the generalized Lorentz force that acts on a test electrically charged particle in these fields.

中文翻译：

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Dilaton电动力学中的一般调和解：场和广义洛伦兹力的精确表达

摘要

根据椭圆雅可比函数和椭圆勒让德积分，获得了带有膨胀子的麦克斯韦电动力学中谐波场的精确表达式。分别考虑中心对称场的情况，并计算所有三种类型的有效电荷，即电，磁和狄拉顿电荷。对于在这些场中作用在测试带电粒子上的广义洛伦兹力给出了一个表达式。