我们需要修改麦克斯韦方程组吗？
Do we need to modify Maxwell's equations?
摘要：
对麦克斯韦方程组进行了修正，加入了一个标量场来解释伦敦超导体。假设电磁场由Klein-Gordon方程描述，则导出了在一组新的变换下不变的伦敦超导方程。在这些变换下，修正的麦克斯韦方程组的不变性要求电磁场和标量场是标度不变的。依赖于这些变换，一个量子化的约瑟夫森类电流的推导。该电流产生残余磁场。标量场的空间和时间变化与电极化的强度相关联，使得极化矢量是无卷曲的。
英文摘要：
Maxwell's equations are modified to incorporate a scalar field to account for the London's superconductivity. Assuming the electromagnetic field is described by the Klein-Gordon equation, London's equations of superconductivity are then derived, which are invariant under a new set of transformations. The invariance of the modified Maxwell's equations under these transformations requires the electromagnetic field and the scalar field to be scale-invariant. Relying on these transformations, a quantized Josephson-like current is derived. This current gives rise to a residual magnetic field. The spatial and temporal variations of the scalar field are linked to the electric polarization such that the polarization vector is curl-less.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
