emhw21 - / (2 ) 2 in both transforms instead of 1 / (2 ) 4...

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Electromagnetic Theory II Problem Set 7 Due: 28 February 2011 27. J, Problem 7.19, parts a), c) only. 28. J, Problem 7.24. 29. J, Problem 7.26. This problem employs Fourier transformation in both space and time. The normalizations chosen for this problem seem to be X ( r , t ) = Z d 3 qdωX ( q , ω ) e i · - iωt , X ( q , ω ) = Z d 3 rdt (2 π ) 4 X ( r , t ) e - i · + iωt (1) where X is any of the variables E , J , D , ρ, φ . If we were to follow the pattern of (7.104), there would have been a factor 1
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Unformatted text preview: / (2 ) 2 in both transforms instead of 1 / (2 ) 4 in only one of them. The space time analog of Jackson, Eq. 7.105, is D ( r , t ) = Z d 3 r dt G ( r-r , t-t ) E ( r , t ) (2) where G ( r-r , t-t ) = Z d 3 qd (2 ) 4 ( q , ) e i (-)-i ( t-t ) (3) which is the natural 4D generalization of (7.106). 30. J, Problem 7.27. 1...
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This note was uploaded on 01/08/2012 for the course PHY 6346 taught by Professor Staff during the Spring '08 term at University of Florida.

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