带辐射项的经典电动力学自旋三体问题(I)自旋方程的推导

Q1 Mathematics
V. Angelov
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引用次数: 3

摘要

本文研究了在经典相对论电动力学框架下描述两个质量带电粒子运动的Synge方程的扩展,包括辐射项和自旋方程。在以前的论文中,我们只导出了带有辐射项的运动方程。我们的辐射项符合狄拉克的物理假设,但它们在数学推导上不同于狄拉克的项。他们用迟钝的和先进的论据生成中立型的运动方程。这里我们根据科本技术考虑自旋的二体问题。在最初的Synge模型中,自旋方程的数量大于未知函数的数量。我们证明了六个自旋方程是其他自旋方程的结果,并由此得到了六个未知自旋函数的六个方程。这个结论是在弱意义上由标量乘法得到的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Spin Three-Body Problem of Classical Electrodynamics with Radiation Terms (I) Derivation of Spin Equations
The paper is devoted to extension of Synge equations describing motion of two mass charged particles in the frame of classical relativistic electrodynamics including radiation terms and spin equations. In previous papers we have derived equations of motion just with radiation terms. Our radiation terms correspond to the Dirac physical assumptions but they differ from Dirac’s terms on the mathematical derivation. They generate neutral type equations of motion with both retarded and advanced arguments. Here we consider two-body problem with spin following the Corben’s technique. As in the original Synge model the number of the spin equations is more than the number of the unknown functions. We prove that six spin equations are a consequence of the rest ones and in this manner we obtain six equations for the six unknown spin functions. This consequence is in weak sense obtained by scalar multiplication.
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来源期刊
Results in Nonlinear Analysis
Results in Nonlinear Analysis Mathematics-Mathematics (miscellaneous)
CiteScore
1.60
自引率
0.00%
发文量
34
审稿时长
8 weeks
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