论广义相对论性波动力学

On General Relativistic Wave Dynamics

通过对Dirac方程推导过程的分析,当存在势场时,描述粒子体系的波动方程不能同时满足Dirac方程及Klein-Gordon方程,方程是否满足Lorentz不变性由等价原理决定。在此基础上,给出广义相对论性波动方程,并根据等价原理确定矩阵函数的具体表达式。作为现有理论的补充,详细论述了守恒量。

According to the analysis on derivation process of the Dirac equation,when there is a potential field,the wave equation describing the particle system cannot simultaneously satisfy the Dirac equation and Klein Gordon equation.Whether the equation satisfies Lorentz invariance is determined by the equivalence principle.On this basis,the general relativistic wave equation is given,and the specific expression of the matrix function is determined based on the equivalence principle.As a supplement to previous theories,a detailed discussion is also given on conserved quantities.