An alternative Lagrangian density for the electromagnetic field is (a) Derive the Euler-Lagrange equations of motion. Are
Question:
An alternative Lagrangian density for the electromagnetic field is
(a) Derive the Euler-Lagrange equations of motion. Are they the Maxwell equations? Under what assumptions?(b) Show explicitly, and with what assumptions, that this Lagrangian density differs from (12.85) by a 4-divergence. Does this added 4-divergence affect the action or the equations ofmotion?
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
a The EulerLagrange theorem says b The other Lagrangian is ac JA So we have Ja and L 1 D3Aa 8 8 ...View the full answer
Answered By
Rishabh Ojha
During my undergraduate i used to participate as TA (Teaching Assistant) in several electronics and computers subject. I'm passionate about learning Computer Science as my bachelors are in Electronics but i learnt most of the Computer Science subjects on my own which Machine Learning also. At Present, i'm a working professional pursuing my career as a Machine Learning Engineer and i want to help others learn during my free hours, that's all the motivation behind giving tuition. To be frank i have no prior experience of tutoring but i have solved problems on opensource platforms like StackOverflow and github. ~Thanks
3+ Reviews
10+ Question Solved
Related Book For 
Question Posted:
