时空导数的后伽利略变换及其结果
Post-Galilean transformations of space and time derivatives and their consequences
摘要：
利用后Galilean时空导数变换和量子力学，我们发现了描述无自旋标量粒子的Klein-Gordon方程之外的一个新的粒子波方程。如果$β=γ(1\pm\frac{v}{c})$满足，则这个新方程也可以由狄拉克方程得到.由于Dirac方程和Maxwell方程在这些变换下不变性，得到了毕奥-萨伐尔定律和附加的连续性方程。
英文摘要：
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 $β=γ(1\pm\frac{v}{c})$. 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.
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