PHYS 671 Homework III due date Thursday October 31st 2013 at class meeting Total number of points 120 You need 100 points for full score 50 points are extra credit You are welcome to work together If you partially use work from others e g something you might have found in a book or a journal paper you should properly credit the author by citing the material used Be sure to properly write problem question numbers you are answering 1 The covariant formulation of Maxwell s equations presents a dual symmetry F F It is possible to extend this symmetry to the source term of Maxwell s equations We assume the existence of a magnetic charge g not yet experimentally detected as of today 50 pts a Write down the modified covariant form of the Maxwell s equations field created by the source j and k due to the motion of a particle with charges q and g and the covariant form of the equation of motion du d 10 pts b Expand all these covariant equations into the standard four Maxwell s equations and the two dynamics equation dp dt and d dt 10 pts c Could you briefly comment is there exist a transformation of j 0 q k 0 g j k E and B that results in the theory you developed to be invariant by spatial reflection x x 5 pts d Write down the E field produced by the electric charge q located at the origin By analogy write the B field produced by the charge g located at the distance d from q 10 pts e Compute the Poynting vector induced by the static field generated by the charge q and g 5 pts f Write the form do not compute the integral of the angular moment J produced by these two charges along the d direction and compare to the product gq 5 pts g for fun In the framework of a quantum theory of this system what is the condition the product gq should satisfy 5 pts 1 2 Jackson s 3rd edition problem 12 6 30 pts a 15 pts b 15 pts 3 Jackson s 3rd edition problem 14 5 20 pts a 10 pts b 10 pts 4 Jackson s 3rd edition problem 14 11 20 pts a 10 pts b 10 pts 2
View Full Document
Unlocking...