Recent content by p3rry

Ok, but I get 0 for every matrix element: \left\langle m |H_{1}|m\right\rangle = \frac{1}{2\pi}\int_{0}^{2\pi}\mathrm{d}\phi\mathrm{e}^{-im\phi}(-\epsilon \cos (\phi))\mathrm{e}^{im\phi}=0 and the off diagonal elements are equally 0 \left\langle m |H_{1}|-m\right\rangle =...

Sorry where m=0,\pm1,\pm2 \ldots

The unperturbed eigenstates are: \psi_{m}(\phi)=\frac{1}{\sqrt{2\pi}}\mathrm{e}^{\mathrm{i}m\phi} where m=0,1 \ldots and the spectrum is E_{m}=-\frac{\hbar^{2}m^{2}}{2M} Now, as I said, I got problems in calculating the perturbed spectrum...

Hello! I need help with this typical quantum problem: I have a quantum rotor in 2 dimensions. And a perturbation along the x direction: Here's the unperturbed Sch equation: -\frac{\hbar^{2}}{2M}\frac{\partial^{2}}{\partial \phi^{2}}\psi(\phi)=E\psi(\phi) And here's the...

ok, but I get an unknown constant. The field is E=\frac{\sigma}{2\epsilon_{0}} in the x direction. So if I integrate it I get V(x)=V(0)-\frac{\sigma}{2\epsilon_{0}}x Where the constant is unknown...maybe I don't need to know it Further, if I calculate the potential starting from a circular...

Hello everybody, I have to calculate the electric field and the potential for a charge q placed at distance d from an infinite plane charge distribution \sigma. For the electric field there's no problem, but how I can get the electric potential for an infinite charge distribution?

You don't get the same answer, because in the first way the energy is: W=\frac{1}{2}\int \mathrm{d}^{3}r V(r) that is half what you get with the electric field way. Maybe there's something wrong in the value of V(r) that I use in the integration (the same that you show in your...

Thank you very much, there's a straightforward solution of the problem. But I still have a question. Why if I try to calculate the resultant energy by using equation (587) that's W=\frac{1}{2}\int \rho V(r) \mathrm{d}^{3} r I can't get the same energy I get with (594)...

Hi everybody... this is my first topic here. I'm solving problems for the phd test here in my university. Here's my question: I have to calculate the energy of charging a sphere (radius = R) with a uniform charge density "rho". I can use 2 formulas: the first is the integral over...