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 deter-mined based on the equivalence principle.As a supplement to previous theories,a detailed discussion is also given on conserved quantities.
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