1. The problem statement, all variables and givenknown data
We have a system of three atoms arranged in a circular arrangements. They each have a valence electron that can tunnel to the nearest neighbor. For a tunneling rate -A/\hbar we have the Hamiltonian (shifted by an energy E_a on the...
(a) F=ma, so find the acceleration of the particle by dividing your equation for F by m.
You know that d = d0 + v0*t + (1/2)*a*t^2, depending upon which direction you're considering. In this case, you must consider every direction separately, at least that's what I think the equation for F hints...
Did not know that blogs were implemented here, as I couldn't find it on the front page, but I found it with a google search after you pointed it out. Sorry for the stupid suggestion then! I still think it would be beneficial to give it more focus on the front page of the forums. Let's make this...
My idea for an addition to the site would be a section where you could keep a log. The idea with this is that people who would like to share their work has an opportunity to do so. Also, this log could be like a "workout" logbook where you share what you have done during the day math and physics...
Got it .. ;) Seems so trivial now that I understand. Of course, for y, x has to be a variable to cover the whole area. Then, since y has been taken care of, x can just go from 0 to 1. I get the correct answer.
Thanks for taking the time to write such an elaborate answer, HallsofIvy. That was...
I've been fooling around by myself with the book "div, grad, curl and all that" by H.M. Schey to learn some vector calculus. However, in the second chapter, when he performs the integrals, he skips the part where he finds the limits on x and y. Here's an example:
Compute the surface integral...