Recent content by CKtalon

Thanks for the reply. So the next usual step is to go to Fourier space, so my Hamiltonian and chemical potential becomes something like H = \sum_k [-2t\cos ka + (\epsilon_k - \mu_k)]c_k^\dagger c_k + \alpha\mu_{k=0}, where we had the constraint c^\dagger_i c_i - \alpha. Wouldn't the 2nd...

Please correct me if I make any mistakes along the way. Suppose we have a simple tight-binding Hamiltonian H=\sum_i \epsilon _i c_i^\dagger c_i - t\sum_{\langle i j\rangle} c_i^\dagger c_j + h.c., In half-filling systems, we tend to impose a constraint such that each site has only one...

Please correct me if I'm wrong, but when we renormalize the coupling constant, don't you need to calculate the 4point function? And in calculating the S matrix, you can get some N point function, which has to be reduced to 2 point functions using Wick's contraction, but with all sorts of...

1st year grad student doing CMT General Relativity I Many Body Physics I Condensed Matter Physics I Audit: QFT

The concept of using orthogonality in solving the Laplace equation through Fourier Series, etc might be useful when you study QM. Orthogonality is used much more in QM than EM though.

I see that you are from UIUC ;) Isn't PHYS 325 (Classical Mechanics) usually taken concurrently with PHYS 213 (thermal) and 214 (quantum) and MATH 285 (Diff Eq)? I believe that is definitely a course load that is easily undertaken.. MATH 415 shouldn't be much of a problem..but I'm not sure...