论文标题
在电磁场的某些特性及其与带电粒子的相互作用
On some properties of the electromagnetic field and its interaction with a charged particle
论文作者
论文摘要
提出了一个求解真空中麦克斯韦方程的程序，在提出两个标量不变的附加要求下，都呈现了。这样的场通常称为零电磁场。基于在通用解决方案中作为任意函数的复杂欧拉电势，定义了无效电磁场的矢量电位。该电位称为无效电磁场的天然矢量潜力。尝试充分了解一般解决方案。研究场的特性和电势而不固定特定的解决方案家族。与零场和Lienard-Wiechert场相似的平等，与Dirac量规条件相似。事实证明，自然电位是一个基本复杂的载体，相当于两个实际电位。提出了对DIRAC方程中耦合项的修改，这使得方程具有两个真实电势。发现了与线性极化平面电磁波中的沃克粒子的溶液相对应的解决方案。在相同条件下，将发现的解决方案直接与沃尔科夫的解决方案进行了比较。
A procedure for solving the Maxwell equations in vacuum, under the additional requirement that both scalar invariants are equal to zero, is presented. Such a field is usually called a null electromagnetic field. Based on the complex Euler potentials that appear as arbitrary functions in the general solution, a vector potential for the null electromagnetic field is defined. This potential is called natural vector potential of the null electromagnetic field. An attempt is made to make the most of knowing the general solution. The properties of the field and the potential are studied without fixing a specific family of solutions. A equality, which is similar to the Dirac gauge condition, is found to be true for both null field and Lienard-Wiechert field. It turns out that the natural potential is a substantially complex vector, which is equivalent to two real potentials. A modification of the coupling term in the Dirac equation is proposed, that makes the equation work with both real potentials. A solution, that corresponds to the Volkov's solution for a Dirac particle in a linearly polarized plane electromagnetic wave, is found. The solution found is directly compared to Volkov's solution under the same conditions.
