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...
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...
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.
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...
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^{-(...