Lecture5.EMfield - The Theelectromagnetic(EM)field...

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he electromagnetic (EM) field The electromagnetic (EM) field serves as a model for particle fields = charge density, J = current density
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ctor representation of EM field 4 vector representation of EM field A is the vector potential the electrostatic potential is the electrostatic potential ; c = speed of light
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How E and B are related to Derivation of E
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ave equations for A and Wave equations for A and Lorentz gauge! = 0
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he μ perator The μ operator Summation implied!
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The wave equations for A and can be put into 4 vector form:
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The sources: charges and currents The sources represent charged particles (electrons, say) and moving charges . They describe how charges affect the EM field!
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presents four 4 im partial differential represents four 4 dim partial differential equations–in space and time!
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If there are no electrons or moving charges: g g This is a “free” field equation – nothing but photons! We will look at solutions to these equations.
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Solutions to 1. We have seen how Maxwell’s equations can be cast into a single wave equation for the electromagnetic 4 vector, A μ . This A μ now represents e E and B of the EM field and something else: the photon! the E and B of the EM field … and something else: the photon!
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This note was uploaded on 08/25/2011 for the course PHYSICS 357 taught by Professor Hale,b during the Spring '08 term at Missouri S&T.

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Lecture5.EMfield - The Theelectromagnetic(EM)field...

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