Lecture5.EMfield

# 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
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
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:
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!
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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Lecture5.EMfield - The Theelectromagnetic(EM)field...

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