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Unformatted text preview: with . The integral vanishes! Closure in upper half possible for t<0! Lecture Notes Page 2 7.2.4 Retarded Green function The path of integration is chosen such that the singularity are below the curve approximating the real axis, and is closed in each case so that integral over the arch vanishes. from integration with clockwise orientation Lecture Notes Page 3 Note: Consider solutions of If for then automatically this solutions has no incoming waves! Proof: Since in the domain We have Lecture Notes Page 4 7.2.5 Advanced Green function Symmetry if for no outgoing waves! for => Difference between solution obtained with retarded and with advanced Green function are just the outgoing and incoming waves! outgoing wave of retarded solution destructive interference for advanced solution incoming wave of advanced solution source and especially Lecture Notes Page 5...
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This note was uploaded on 07/28/2009 for the course PHYS 441B taught by Professor Norbertlutkenhaus during the Winter '09 term at Waterloo.
 Winter '09
 NorbertLutkenhaus

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