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Unformatted text preview: ~ r ) = X ~ G V ~ G exp( i ~ G ~ r ) (4) which can be written in terms of the ~ G as, V ( ~ r ) = X ~ G ~ G G 2 exp( i ~ G ~ r ) (5) with G 2 = ~ G ~ G . Hint: Consider the Poisson equation. c) Show that for a point charge at ~ r and its periodic images, that ~ G = 1 exp(i ~ G~ r ) with = L 3 . d) Determine an expression for the total electrostatic energy density. Explain why ~ G =0 must be zero in order for the answer to be sensible. What does this imply for ( ~ r )? 1...
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This note was uploaded on 08/08/2011 for the course PHZ 5156 taught by Professor Johnson,m during the Fall '08 term at University of Central Florida.
 Fall '08
 Johnson,M

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