Right, I get that I have all of the matrix elements of the Hamiltonian, but I'm not sure how that's going to help me determine that probability of finding the system in state |2>. Also, we've never covered non degenerate perturbation theory, so is there another more elementary way to solve this...
Homework Statement
As the homework problem is written exactly:
Consider the quantum mechanical system with only two stationary states |1> and |2> and energies E0 and 3E0, respectively. At t=0, the system is in the ground state and a constant perturbation <1|V|2>=<2|V|1>=E0 is switched on...
Well I tried it the old fashion way and it turned out better than I thought - but I don't think \tau can be solved for explicitly.
\frac{-A^{2}}{2\sqrt{2a}}e^{\frac{-a\tau^{2}}{2}}+\frac{-B^{2}}{2\sqrt{2b}}e^{\frac{-b\tau^{2}}{2}} =...
Yes, that's definitely one way to do it. However, this may take a couple dozen sheets of paper and a few hours considering the factoring. I guess after seeing so many tricks in math classes I just assumed there might be a quick way around this... But real world problems versus classroom problems...
Hi guys,
Long story short, I need to compute an autocorrelation integral. Here's the problem:
There are two arbitrary gaussian pulses, one following the other by a fixed distance. By computing the autocorrelation over space(not time) and taking the derivative of the space-shift autocorrelation...