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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Seminar on Boundary Value Problems (PDE)
Chris Tiee
UCSD
Formulating Maxwell's Equations with Differential Forms
Abstract:
We continue the formulation of Maxwell's Equations in the language of differential forms. We describe how the Hodge star operator plays a role in relating the equations together, and also introduce the electromagnetic 4-potential, which unifies the classical electric scalar and magnetic vector potentials into one spacetime object. We then use both these tools to recast Maxwell's Equations as a wave equation, and investigate what it means for boundary value problems.
May 4, 2009
4:00 PM
AP&M B412
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