标题： 伽利略变换后的空间和时间导数及其后果 显示英文标题

标题： Post-Galilean transformations of space and time derivatives and their consequences

摘要： 使用后伽利略空间和时间导数变换以及量子力学，我们找到了一个描述无自旋标量粒子的新粒子-波方程，除了克莱因-戈登方程之外。 这个新方程也可以从狄拉克方程中得到，如果 $\beta=\gamma(1\pm\frac{v}{c})$。 比奥-萨伐尔定律和附加的连续性方程是狄拉克方程和麦克斯韦方程在这些变换下的不变性的结果。 显示英文摘要

摘要： Using post-Galilean space and time derivatives transformations and quantum mechanics, we have found a new particle-wave equation besides the Klein-Gordon equation describing a spinless scalar particle. This new equation can also be obtained from Dirac's equation if $\beta=\gamma(1\pm\frac{v}{c})$. Biot-Savart law and additional continuity equations are obtained as a consequence of the invariance of Dirac's equation and Maxwell's equations under these transformations.