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Unformatted text preview: properties. The form invariance then implies the transformation property of the remaining 4vector object. This leads to expression for the source terms, combining and , And also for the potentials and These form the basic elements of the relativist theory, and we then derive new objects containing the e/m fields, the energy etc. 8.7.1 Continuity equation => should hold in all inertial coordinate systems use covariant derivative vector transforms as scalar must transform as contravariant vector! Lecture Notes Page 2 4vector current and Example: current in resting conductor: moving balanced net charge in moving frame: => moving observer sees nonzero net charge density! confirms again: charge density is not a scalar 8.7.2 Potentials (in Lorentz gauge) gauge condition note that with transforms as scalar! must transform as contravariant vector! 4vector potential Gauge condition: Lecture Notes Page 3...
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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.
 Winter '09
 NorbertLutkenhaus

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