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Unformatted text preview: properties. The form invariance then implies the transformation property of the remaining 4-vector 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 co-variant derivative vector transforms as scalar must transform as contra-variant vector! Lecture Notes Page 2 4-vector current and Example: current in resting conductor: moving balanced net charge in moving frame: => moving observer sees non-zero 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 contra-variant vector! 4-vector potential Gauge condition: Lecture Notes Page 3...
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- Winter '09