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

  title={The Dirac Equation as One Fourth-Order Equation for One Function: A General, Manifestly Covariant Form},
  author={Andrey Akhmeteli},
  journal={arXiv: Quantum Physics},
  • A. Akhmeteli
  • Published 9 February 2015
  • Physics
  • arXiv: Quantum Physics
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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