从普适量子波动方程导出Dirac、Klein-Gordon、Schrodinger、扩散和量子热输运方程
Derivation of Dirac, Klein-Gordon, Schrodinger, Diffusion and quantum heat transport equations from a universal quantum wave equation
摘要：
导出了一个普适的量子波动方程，它导出了狄拉克方程、克莱因-戈登方程、薛定谔方程和量子热方程。这些方程通过空间、时间和质量的复杂变换联系起来。这些方程所表现出的新的对称性进行了研究。普适量子方程通过两种方式产生狄拉克方程：首先用$im_0$代替粒子my $m_0$，然后分别用$it$和$i\vec{r}$改变空间和时间坐标。
英文摘要：
A universal quantum wave equation that yields Dirac, Klein-Gordon, Schrodinger and quantum heat equations is derived. These equations are related by complex transformation of space, time and mass. The new symmetry exhibited by these equations is investigated. The universal quantum equation yields Dirac equation in two ways: firstly by replacing the particle my $m_0$ by $im_0$, and secondly by changing space and time coordinates by $it$ and $i\vec{r}$, respectively.
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。
