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Mathematical Tripos Part II Further Complex Methods Michaelmas term 2007 Dr S.T.C. Siklos Example: The causal Green’s function for the wave equation In this example, we will use Fourier transforms (in three dimensions) together with Laplace transforms to find the solution of the wave equation with a source term, representing (say) an electromagnetic potential arising from a time-varying charge distribution. The solution takes the form of an integral involving a Green’s function, which has the p
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