# The Dirac Equation as One Fourth-Order Equation for One Function: A General, Manifestly Covariant Form

@article{Akhmeteli2018TheDE, title={The Dirac Equation as One Fourth-Order Equation for One Function: A General, Manifestly Covariant Form}, author={Andrey Akhmeteli}, journal={arXiv: Quantum Physics}, year={2018}, pages={1-11} }

Previously (A. Akhmeteli, J. Math. Phys., v. 52, p. 082303 (2011)), the Dirac equation in an arbitrary electromagnetic field was shown to be generally equivalent to a fourth-order equation for just one component of the four-component Dirac spinor function. This was done for a specific (chiral) representation of gamma matrices and for a specific component. In the current work, the result is generalized for a general representation of gamma matrices and a general component (satisfying some…

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