Recent content by Chump

OK. First, I've asked this there already. It was pretty much the first thing I did. I could not get in touch with Ben Cromwell on the site. Also, no one else from that site gave an answer. Further, I could not get in touch with Ben via his outside site. I believe I've taken all of the proper...

I didn't know if I was allowed to post references to another site, but it's in reference to Ben Crowell's answer to this question: https://physics.stackexchange.com/questions/16755/why-is-energy-in-a-wave-proportional-to-amplitude-squared. The question is the first post on the page, there's an...

I've read that, in general, the energy of a wave, as opposed to what's commonly taught, isn't strictly related to the square of the amplitude. It can be seen to be related to a Taylor series, where E = ao + a1 A + a2A2 ... Also, that the energy doesn't depend on phase, so only even terms will...

Thanks for the reply. I have a few more questions. If this isn't the proper forum, please tell me; and I'll create a new thread. So, I'd like to be sure I understand: The second representation of V that you have there is a covariant representation because the basis, let's call it basis two, is...

v^1 e_1 + v^2 e_2 Why not have everything in a lower index, here? Why is one raised and one lowered?

Why is it that a vector can be described in terms of a simple linear combination, like v = xi + yj + zk, where v is a vector, and i, j, and k are all unit vectors. It just seems a bit convenient that it's as simple as just adding the components this way. It seems like there should be a bit more...

Homework Statement There's a derivation here that I'm looking at, and I've hit a snag. At (1) about 15 lines down the page, the author divides by Δx and takes the limit as Δx goes to 0. I understand what he did on the right side of the equation, but on the left side of the equation, by what...

Great video, but it didn't quite answer my question. I might not have been able to articulate my question that well over the internet. Oh, well. Thanks, anyhow.

Homework Statement I'm having trouble wrapping my head around this concept. I understand integration and differentiation individually. I even understand the algebraic manipulations that reveals their close relationship. However, the typical geometric interpretation of a 1-D curve being the...