Recent content by Wishe Deom

I ate cornflakes for breakfast.

I am very familiar with the 1d harmonic oscillator, and I would know how to solve each of the three equations if I got them, but I'm not sure how to get there. If I look for solutions of the form \psi = X(x) + Y(y) +Z(z), then the term in the SE V \psi would be some nine-term monstrosity...

I didn't know the solution to X'' = x^2 X, but Wolfram Alpha tells me it involves some function D, which I have never before seen. That's why I was having doubts as to whether my reasoning up to this point had been sound.

Homework Statement Consider a particle of mass m moving in a 3D-anisotropic oscillator potential: V(\vec{r}) = \frac{1}{2}m(\omega^{2}_{x}x^{2}+\omega^{2}_{y}y^{2}+\omega^{2}_{z}z^{2}). (a) Frind the stationary states for this potential and their respective energies. Homework Equations...

I understand your difficulties, as that is what I'm suing right now, as well. At first problems were quite difficult, but I feel that I have developed a very strong grasp of the concepts, after struggling to figure out problems on my own. Now I feel fluent in the language Griffiths uses, and the...

Ok, thank you both. In retrospect, that was kind of obvious :P

[SOLVED] Proofs for Dirac delta function/distribution Homework Statement Prove that \delta(cx)=\frac{1}{|c|}\delta(x) Homework Equations \delta(x) is defined as \delta(x)=\left\{\stackrel{0 for x \neq 0}{\infty for x=0} It has the properties...

Thank you. So, by symmetry, the sin term dissappears, and the rest of the integral can be taken as twice the integral from zero to infinity?

Hello, I am having difficulty solving the following integral: \int^{\infty}_{-\infty}e{-(a|x|+ikx)}dx I have tried to use an explicit form of the absolute, eg. -(a|x|+ikx) = \left\{\stackrel{-(ik+a)x\ x>0} {-(ik-a)\ x<0} Does this allow me to separate the integral into a sum of two...

Thank you for all the help. I'm well on my way, but I am having trouble with the limits of integration. Since x and y go from -inf to inf, what are the new limits? Since r = sqrt(x^2+y^2), it seems that r goes from inf to inf, which would result in 0. I know, logically, r should be 0 to...

I will try this, but why would this work? As far as I understand it, the product of the integrals is not necessarily equal to the integral of the products. Is this what you are suggesting I try? [tex]\int{\inf}_{-\inf}e{-ax{2}}e{-ay{2}}dxdy

Hello everyone, This is my first post on the forum; I'm pretty sure my question fits in this section. I am having a lot of difficulty finding the definite integral \int^{+\infty}_{-\infty}e^{-2ax^{2}} dx where a is positive and real. I know the answer is [tex]\\sqrt{\frac{\pi}{2a}}, but...