Question

Please show work, and solve fully. Thanks! #electrostatics #electrodynamics

The Dirac delta function in three dimensions can be taken as the improper limit as α 0 of the Gaussian function 2a2 Consider a general orthogonal coordinate system specified by the surfaccs u - constant, vconstant, wconstant, with length elements dulU, dvlV, dw/W in the three perpendicular directions. Show that δ(x x').. δ(u u') δ(v v') δ(w w,). UVW by considering the limit of the Gaussian above. Note that as a0 only the infin itesimal length element need be used for the distance between the points in the exponent.

Answer 1