Recent content by Fraktal

[PLAIN]http://img827.imageshack.us/img827/6956/2324q.jpg

OK so have I understood that correctly? (see diagram and calcs) [PLAIN]http://img35.imageshack.us/img35/9889/323qf.jpg This means: sin{\theta} = \frac{gsin{\theta}\hat{x}}{g} sin{\theta} = \frac{-gcos{\theta}\hat{y}}{g} .. but then don't see where I go from here (if that's even correct)...

[PLAIN]http://img249.imageshack.us/img249/8338/3233q2.jpg OK so perhaps the simple question should now be.. why is it just the sin component minus the cos component? .. sorry for sounding stupid about this ..

The diagram is all the information that I am given, and I need to show g. Yes, but I can't figure it out [mindblock] :redface:.

Homework Statement [PLAIN]http://img192.imageshack.us/img192/8160/3233q.jpg Need to show the gravitational acceleration: g = g_{0}sin(\theta)\hat{x}-g_{0}cos(\theta)\hat{y} where g_{0}=9.81ms^{-2}. (note that the g, x and y, should all have underbar notations). Homework...

Here's an attempt: Hamiltonian: H^{0}|n^{0}\rangle = E_{n}^{0}|n^{0} \rangle Add small perturbation term H^{1}: H^{0}+H^{1}|n^{0}\rangle = E_{n}^{0}|n^{0} \rangle Input expansions for |n \rangle and E_{n} thus: \left( H^{0}+\lambda H^{1}\right)|n \rangle = E_{n}|n \rangle...

Homework Statement Show for the n=2 level of hydrogen, that the secular matrix of the perturbation \hat{V} is diagonal in the basis of states \psi_{n,l,m}. Homework Equations 1. The n-th energy level splitting is found from solving the eigenvalue problem for the secular matrix...

Still don't know how to be doing this :frown: Found another equation (not sure how useful it is) for the corrections to the Hamiltonian: \hat{H}=\hat{H_{0}}+\hat{H_{k}}+\hat{H_{S}} Where \hat{H_{S}} represents the spin-orbit Hamiltonian. I have what \hat{H_{k}} and \hat{H_{S}} are but haven't...

Homework Statement Use leading order perturbation theory to calculate the ground state shift of hydrogen due to perturbation: \hat{V} Homework Equations 1. Leading terms in expansion of energy: E=mc^{2}+\frac{p^{2}}{2m}-\frac{p^{4}}{8m^{3}c^{2}}+... 2. \hat{H}=\hat{H}_{0}+\hat{V} where...