Insights Blog
-- Browse All Articles --
Physics Articles
Physics Tutorials
Physics Guides
Physics FAQ
Math Articles
Math Tutorials
Math Guides
Math FAQ
Education Articles
Education Guides
Bio/Chem Articles
Technology Guides
Computer Science Tutorials
Forums
Intro Physics Homework Help
Advanced Physics Homework Help
Precalculus Homework Help
Calculus Homework Help
Bio/Chem Homework Help
Engineering Homework Help
Trending
Featured Threads
Log in
Register
What's new
Search
Search
Search titles only
By:
Intro Physics Homework Help
Advanced Physics Homework Help
Precalculus Homework Help
Calculus Homework Help
Bio/Chem Homework Help
Engineering Homework Help
Menu
Log in
Register
Navigation
More options
Contact us
Close Menu
JavaScript is disabled. For a better experience, please enable JavaScript in your browser before proceeding.
You are using an out of date browser. It may not display this or other websites correctly.
You should upgrade or use an
alternative browser
.
Forums
Homework Help
Advanced Physics Homework Help
Maxwell's Equations from EM field tensor
Reply to thread
Message
[QUOTE="TSny, post: 5481469, member: 229090"] Since none of the indices are repeated in any term, there is no Einstein summation going on here. What you have is a set of equations, one equation for each choice of ##\mu, \nu, \lambda##. That seems like a lot of equations! However, you should be able to show that no information results when any two of the indices take on the same value. (You just get 0 = 0.) Also, you should be able to see that permuting the indices does not give a different equation. (##\mu = 1, \nu = 2, \lambda = 3## gives the same equation as ##\mu = 2, \nu = 3, \lambda = 1##, say.) So, the number of independent equations is actually fairly small. I'm not sure how to answer this. If you already know Maxwell's equations in the usual form, then you can validate this formula by carrying out your exercise. Or, you could take this formula as an expression of a law of Nature which is just postulated. It's not that bad. After showing that you only need to consider cases where the three indices are different and that permutations of the indices give the same result, there are not that many possible values to look at. [/QUOTE]
Insert quotes…
Post reply
Forums
Homework Help
Advanced Physics Homework Help
Maxwell's Equations from EM field tensor
Back
Top