Question: 8.18 Free-Space Green Function in Polar Coordinates The free-space Green function in two dimensions (potential of a line charge) is G (r, r') =
8.18 Free-Space Green Function in Polar Coordinates The free-space Green function in two dimensions (potential of a line charge) is G (r, r') = In |r r'|/270. Use the method of direct integration to reduce (2) Problems 269 the two-dimensional equation 6,VG(r, r') = -8(r r') to a one-dimensional equation and establish the alternative representation 1 G(r, r') =- In ps + 2 cos m(o o'). 20 31
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