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Second order symmetry operators

Using systematic calculations in spinor language, we obtain simple descriptions of the second order symmetry operators for the conformal wave equation, the Dirac-Weyl equation and the Maxwell equation on a curved four dimensional Lorentzian manifold. The conditions for existence of symmetry operators for the different equations are seen to be related. Computer algebra tools have been developed and used to systematically reduce the equations to a form which allows geometrical interpretation.

preprint2014arXivOpen access
Lars AnderssonThomas BäckdahlPieter Blue
math.APgr-qc
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Open access3 authors2 topics
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Lars AnderssonThomas BäckdahlPieter Blue

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