Recent content by freechus9

Thank you very much!

I understand what you mean by which lines the cuts are on, but I am having trouble explicitly evaluating the contributions from either side of the cut in the upper half plane. For example, along the cut on the right side, x would have the value re^{i*\pi/8}. Therefore x^{2} is...

For my research I am trying to solve a particular integral. I know that I have to transform it properly to use the residue theorem, but I am having difficulty attaining this form. Here is the integral: \int^{\infty}_{-\infty}\frac{e^{ix}dx}{\sqrt{a - x^2 + ib}} where a and b are real...

Thanks for the reply! Actually, I am already familiar with those methods for contour integration. The main problem I am having is whether or not it is legal to multiply the integrand by a specific value of "1," namely, \frac{\sqrt{k^2 + a} + (b\pm i\lambda)}{ \sqrt{k^2 + a} + (b\pm...

Hello, I am working on a problem and I have to solve a nasty integral. The problem is that I am not sure if the method I am using is correct. The integral I need to solve is: \int^{\infty}_{-\infty}\frac{e^{ikx}dk}{\sqrt{k^2 + a} - (b\pm i\lambda)} At this point, I have tried multiplying the...

Hello all. So I am trying to integrate a function of this form: \int\intF(x,y)\delta[a(Cos[x]-1)+b(Cos[y]+1)]dxdy The limits of integration for x and y are both [0,2Pi). I know that this integral is only nonzero for x=0, y=Pi. So this should really only sample one point of F(x,y)...

Homework Statement I am giving a short talk on supersymmetry for my intro to high energy class, but I do not have the time to read an entire book on the subject. Most resources I have found go into much more depth than I need, but these seem to be the only resources. Can anyone help me with...

Hello all. I am a senior undergraduate Physics concentrator at Brown U and I have just heard back from the grad schools I applied to. I have been accepted into UIUC with a 1 year fellowship, but have been rejected from all other schools. The ones I were rejected from: Harvard, MIT, Stanford...