Summary so far:
1.3
Completion of Maxwell equations:
leads to contradictions for
continuity equation
Resolution:
Change equations as follows
Note: since
replace
or
and
by
Lec 03  9. Jan
Thursday, January 08, 2009
9:51 AM
Lecture Notes
Page 1
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Maxwell Equations:
Note:
Continuity Equation is now a consequence of Maxwell Equations
1.4 Maxwell Equations & time evolution
1.4.1: Problem structure for
given
source distributions
constraints:
for given source distribution
satisfying the continuity equation
time evolution equations:
Note:
apparent asymmetry:

electric charge as source of Efield

but no basic source of Bfield
==> Maxwell theory could be extended by including
magnetic monopoles
magnetic currents
No experimental evidence of magnetic monopoles and
associated currents so far!
Existence of magnetic monopoles would motivate
quantization of electric charge
==> see e.g. Jackson