相对论牛顿定律和库仑定律
Relativistic Newton and Coulomb Laws
摘要：
电磁和引力相互作用的相对论方程是相似的：唯一的拉格朗日方程是有洛伦兹力的方程。势满足波动方程，其右边正比于另一个粒子的速度，乘以集中在另一个粒子位置的δ函数。如果相互作用以光速传播，则波动方程具有唯一解：Lienard-Wiechert势。麦克斯韦方程组完全由得到的相对论性库仑定律定义。库仑定律与牛顿引力定律的区别仅在于常数的选择。如果在库仑定律中选择质量等于电荷，而相互作用常数取另一个符号，则得到牛顿引力定律。如果我们在相对论库仑定律中选择等于质量的电荷，并选择另一个符号的相互作用常数，则得到相对论牛顿引力定律。
英文摘要：
The relativistic equations for the electromagnetic and gravitation interactions are similar: The only Lagrangian equation is the equation with Lorentz force. The potential satisfies the wave equation with the right - hand side proprtional to the velocity of another particle multiplied by the delta - function concentrated at the position of another particle. If the interaction propagates at the speed of light, then the wave equation has the unique solution: the Lienard - Wiechert potential. The Maxwell equations are completely defined by the obtained relativistic Coulomb law. The Coulomb law and the Newton gravity law differ from each other only in the choice of the constants. If we choose in Coulomb law the electric charges equal to the masses and choose the interaction constant of another sign, then we get Newton gravity law. If we choose in the relativistic Coulomb law the electric charges equal to the masses and choose the interaction constant of another sign, then we get the relativistic Newton gravity law.
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