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  "body": "\n## Summary\n\nThe Dirac equation is the relativistic wave equation for particles of spin one half, such as the electron.\nIt is a first-order system for a function with four complex components, and its coefficients are the Dirac matrices, which generate a [[Clifford algebra|A38B1QFK20]].\nEach component of a solution solves the [[Klein–Gordon equation|AYCCDQWCJF]], so the Dirac equation is a kind of square root of it.\nIt predicted antimatter and explains the spin and magnetic moment of the electron.\n\n## Explanations\n\n### L1 human\n\nThe Schrödinger equation treats space and time differently, so it does not fit special relativity.\nDirac looked for an equation that is first order in time and in space, like a square root of the relativistic energy relation $E^2 = p^2 + m^2$.\nOrdinary numbers cannot do this, so he used $4 \\times 4$ matrices whose squares are $\\pm 1$ and which anticommute.\nThe four components of the solution describe the two spin states of the particle and of its antiparticle.\n",
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