从第一性原理导出的Proca方程
Proca equations derived from first principles
摘要：
格斯滕已经证明了如何从第一性原理推导出麦克斯韦方程组，类似于用于获得狄拉克相对论电子方程的那些。我们展示了如何Proca方程也可以推导出第一原理，类似于那些已被用来找到狄拉克和麦克斯韦方程组。与麦克斯韦方程组相反，为了将二阶微分方程（如Klein-Gordon方程）变换为一阶微分方程（如Proca方程），需要引入势。
英文摘要：
Gersten has shown how Maxwell equations can be derived from first principles, similar to those which have been used to obtain the Dirac relativistic electron equation. We show how Proca equations can be also deduced from first principles, similar to those which have been used to find Dirac and Maxwell equations. Contrary to Maxwell equations, it is necessary to introduce a potential in order to transform a second order differential equation, as the Klein-Gordon equation, into a first order differential equation, like Proca equations.
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