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• Users: cp51
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1. ### Charge inside Grounded Cube

Homework Statement There's a charge, not at the center of a grounded cube. Find the potential in the cube. Homework Equations The Attempt at a Solution I'm really just looking for a place to start. I should end up with some kind of series, but I don't know if I should be doing...
2. ### Possible values and their Probability of Measuring S^2 - Spin

Ok, I think I got it, so using: e1 = \frac{1}{\sqrt{2}}(|+,-> + |-,+>) with eigenvalue 2hbar^2 and e2 = \frac{1}{\sqrt{2}}(|+,-> - |-,+>) with eigenvalue 0 I rewrite: |+,-> as (e1 + e2)*(sqrt(2)/2) and |-,+> as (e1 - e2)*(sqrt(2)/2) Combine e1 and e2 terms. And then the...
3. ### Possible values and their Probability of Measuring S^2 - Spin

Hmm, I'm not positive... is that writing it in |10> and |00> states? I am not exactly sure how to do this. Can you help get me moving in the right direction? thanks for the help.
4. ### Possible values and their Probability of Measuring S^2 - Spin

Homework Statement I have a two spin 1/2 particles. The Hamiltonian for the system is given as H = w1 S1z + w2 S2z. I need to find the possible values and their probabilities when I measure S^2 at some later time T. Also the Initial state \Psi (0) = a | \uparrow \downarrow > + b | \downarrow...
5. ### Multiplicity of s-dimensional Harmonic oscillator

Homework Statement The energy eigenvalues of an s-dimensional harmonic oscillator is: \epsilon_j = (j+\frac{s}{2})\hbar\omega show that the jth energy level has multiplicity \frac{(j + s - 1)!}{j!(s - 1)!} Homework Equations partition function: Z = \Sigma e^{-(...