WestEndVol
Rarest Member
night clarky
well, she kinda got Poisson right
lrysbo yht jaa ryja paah mingehk yht dra haf kio caasc cicbeluic cen.
Hello night shifters!
I'm doing quantum mechanics homework, specifically perturbation theory, and I have three classes' worth of notes scattered around on my "dining room table" (it's a card table), as well as a textbook, and I still can't find any clues as to how to construct my perturbing Hamiltonian matrix. If I could just use the differential Hamiltonian, I would be alright, because the math isn't all that difficult, but he asked specifically for the matrix.
I should have brought the other textbook home...
yo math bro........watch that video above
*nm, you're physics
E ghuf.......drana yna dfu uv dras. Duu upjeuic dryd ed'c bucdanc dryd yna vysemeyn fedr dra ruub. Ec ed dras? E fuh'd damm
I watched about half of it, then realized it wasn't time-independent perturbation theory, and stopped.
And that's how I pronounce homogeneous sometimes, depending on my company. But just like cumulative and simultaneous, I have two pronunciations I'm equally likely to use.
And paprika, too.
E drehg E ghuf fru dra hafacd uha ec pid E's hud cyoehk aedran
im going out for a smoke anybody need anything
What are the diagonal matrix elements?
I need a four loko
I think I know what I'm supposed to do, which is sum the diagonalized unperturbed Hamiltonian, which has the energy eigenvalues as its diagonal elements, with the perturbing Hamiltonian matrix, which has the perturbing potential as its off-diagonal elements and zeros on the diagonal.
I'm looking for the second-order perturbation, so I need to operate the perturbing Hamiltonian on the first-order perturbed wave function, then multiply that by the unperturbed wave function with a different quantum state, then integrate all of that over the space in which the particle exists.
Wait. I just had an epiphany. One of my hangups was that I didn't know the first order perturbed wave function, but since I calculated in the previous problem that the first order energy perturbation was zero, the first order perturbed wave function is just the unperturbed wave function. I just have to operate the perturbing Hamiltonian on the original wave function (which I do know), then multiply by the wave function of a different state and integrate over all space.
Thanks guys!
I think I know what I'm supposed to do, which is sum the diagonalized unperturbed Hamiltonian, which has the energy eigenvalues as its diagonal elements, with the perturbing Hamiltonian matrix, which has the perturbing potential as its off-diagonal elements and zeros on the diagonal.
I'm looking for the second-order perturbation, so I need to operate the perturbing Hamiltonian on the first-order perturbed wave function, then multiply that by the unperturbed wave function with a different quantum state, then integrate all of that over the space in which the particle exists.
Wait. I just had an epiphany. One of my hangups was that I didn't know the first order perturbed wave function, but since I calculated in the previous problem that the first order energy perturbation was zero, the first order perturbed wave function is just the unperturbed wave function. I just have to operate the perturbing Hamiltonian on the original wave function (which I do know), then multiply by the wave function of a different state and integrate over all space.
Thanks guys!