Timeline for Efficiently deriving Maxwell from Euler-Lagrange equations
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 19 at 10:56 | comment | added | Bence Racskó | @user34722 ... that belongs to the adjoint of the relevant bundle, we multiply with the volume form, e.g. it is the operator $(g^{ij}\partial^2 -\partial^i\partial^j)d^4x$ that should properly be understood in place of what I wrote (note the added $d^4x$), but I omitted this to keep things simple (but somewhat inaccurate). | |
| Jan 19 at 10:50 | comment | added | Bence Racskó | @user34722 Added an edit. This link can also be helpful: en.wikipedia.org/wiki/…, but note that since we are working on manifolds, we are not using a scalar product, but rather the $m$-form valued pairing between a bundle and its adjoint. That is needed to ensure the formal adjoint is coordinate-free and doesn't depend on any background structure like a metric. But of course what I did not mention in the answer is that in "free field equations" in order to get an operator ... | |
| Jan 19 at 10:50 | history | edited | Bence Racskó | CC BY-SA 4.0 | added 969 characters in body |
| Jan 19 at 8:27 | comment | added | user34722 | This is a bit hard to follow for me since it's in a rather different language/terminology than the original question and what one would typically encounter outside of mathematics/mathematical physics courses. I think I follow everything except for the line where dB appears. What is dB? Do you know what it might be referred to in 'physics language'? | |
| Jan 13 at 8:52 | history | answered | Bence Racskó | CC BY-SA 4.0 |