Lecture 10 Lecture Notes

Lecture 10 Lecture Notes - Lec 10 - 26. Jan Thursday,...

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4. Potential Formulation of Maxwell's Equations dynamic equations sources satisfy Goal: decouple dynamic equations, simplify equation structure 4.1 Vector potential (mathematical requirement: needs to hold in simple connected region -> automatically satisfied as Maxwell eqns hold everywhere!) for some suitable vector field vector potential not unique: for some function satisfied also Mathematical Statement: in simple connected region for some suitable scalar function g function g is not unique! [can add always a function c(t)] Lec 10 - 26. Jan Thursday, January 17, 2008 9:55 PM Lecture Notes Page 1
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4.2 Scalar Potential scalar function convention! 4.3 Maxwell Equations in Potential Formulation 4.3.1 Connection Fields and Potentials replaced by with 4.3.2 Potential representation of remaining Maxwell Equations fields automatically satisfy A) B) Griffith #11 V depends on choice of A! Lecture Notes Page 2
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4.3.3 Gauge transformations field unchanged field should remain unchanged, too! gauge transformations
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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.

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Lecture 10 Lecture Notes - Lec 10 - 26. Jan Thursday,...

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