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electrodynamics of moving charges

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presentation of moving charges
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  On TheRadiation Of MovingChargesLewis ProctorTheory PotentialsGauge FreedomAnd The Green’sFunctionDeriving TheFields FromGiven ChargeAnd CurrentDensitiesTensors AndRelativityPoynting AndEnergy Applications LinearAcceleratorsCircularAcceleratorsThe HydrogenAtom Summary On The Radiation Of Moving Charges Mathematical Physics Research ProjectLewis Proctor University of Sussex 2014  On TheRadiation Of MovingChargesLewis ProctorTheory PotentialsGauge FreedomAnd The Green’sFunctionDeriving TheFields FromGiven ChargeAnd CurrentDensitiesTensors AndRelativityPoynting AndEnergy Applications LinearAcceleratorsCircularAcceleratorsThe HydrogenAtom Summary Outline 1  TheoryPotentialsGauge Freedom And The Green’s FunctionDeriving The Fields From Given Charge And CurrentDensitiesTensors And RelativityPoynting And Energy 2  ApplicationsLinear AcceleratorsCircular AcceleratorsThe Hydrogen Atom  On TheRadiation Of MovingChargesLewis ProctorTheory PotentialsGauge FreedomAnd The Green’sFunctionDeriving TheFields FromGiven ChargeAnd CurrentDensitiesTensors AndRelativityPoynting AndEnergy Applications LinearAcceleratorsCircularAcceleratorsThe HydrogenAtom Summary Potentials Maxwell’s equations: ∇ · E  = 4 πρ  (1) ∇ × E  = − 1 c  ∂  B ∂  t   (2) ∇ · B  = 0 (3) ∇ × B  = 1 c  ∂  E ∂  t   + 4 π c   j  (4)From these we can acquire equations for potentials  On TheRadiation Of MovingChargesLewis ProctorTheory PotentialsGauge FreedomAnd The Green’sFunctionDeriving TheFields FromGiven ChargeAnd CurrentDensitiesTensors AndRelativityPoynting AndEnergy Applications LinearAcceleratorsCircularAcceleratorsThe HydrogenAtom Summary Potentials with use of  ∇ · v  = 0 (5)and knowing v  = ∇ × A  (6)We define the magnetic potential as B  = ∇ × A  (7)

BAP-01-T-A.pdf

Jul 23, 2017
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