Here's a cute little party trick for ya..pic.twitter.com/D2nhJ21zU8
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Looks similar to “factoring” (d^2/dt^2- c^2d^2/dx^2) into (d/dt + cd/dx)(d/dt - cd/dx) to get d'Alembert's solution of the wave eq
The Dirac Equation was actually an attempt to take the "square root" of the Klein Gordon equation to get first order time and spatial derivatives
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PDE folks love finding the square roots of operators. Was quite an important problem to find the square root of the laplacian
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