Calculate the energies of all 4 states up to 2nd order

Penny
Messages
2
Reaction score
0
Moved from a technical forum, no template.
Hi,
I'm dealing with the following problem. I hope someone could help me with it.
Problem is about 2 interacting particles (spin: 1/2 each), with Hamiltonian Ho=-A( S_1z + S_2z) and perturbation H1={(S_1x)*(S_2x) - (S_1y)*(S_2y)}. The question asks to calculate the energies of all 4 states up to 2nd order.
 
Physics news on Phys.org
:welcome:

@Penny , our homework helpers are not allowed to help until you show your attempt at a solution.
 
This is what i managed to do so far. I'm stuck with the perturbation terms on how to analyze them further so i can use S^2 or Sz that are already known.

20180823_225609.jpg


(sorry about the missing attempt at a solution, i wasn't aware)
 

Attachments

  • 20180823_225609.jpg
    20180823_225609.jpg
    29.1 KB · Views: 361
Last edited:

Thread 'Direction of the magnetic field of an oscillating charge'

Hello everyone, I’m considering a point charge q that oscillates harmonically about the origin along the z-axis, e.g. $$z_{q}(t)= A\sin(wt)$$ In a strongly simplified / quasi-instantaneous approximation I ignore retardation and take the electric field at the position ##r=(x,y,z)## simply to be the “Coulomb field at the charge’s instantaneous position”: $$E(r,t)=\frac{q}{4\pi\varepsilon_{0}}\frac{r-r_{q}(t)}{||r-r_{q}(t)||^{3}}$$ with $$r_{q}(t)=(0,0,z_{q}(t))$$ (I’m aware this isn’t...
View full post »

Thread 'Initial conditions for orbits around a wormhole'

Hi, I had an exam and I completely messed up a problem. Especially one part which was necessary for the rest of the problem. Basically, I have a wormhole metric: $$(ds)^2 = -(dt)^2 + (dr)^2 + (r^2 + b^2)( (d\theta)^2 + sin^2 \theta (d\phi)^2 )$$ Where ##b=1## with an orbit only in the equatorial plane. We also know from the question that the orbit must satisfy this relationship: $$\varepsilon = \frac{1}{2} (\frac{dr}{d\tau})^2 + V_{eff}(r)$$ Ultimately, I was tasked to find the initial...
View full post »

Similar threads

Confusion In Writing Identical Particle Wavefunctions
Replies
12
Views
322
Spin-1 particle states as seen by different observers: Wigner rotation
Replies
5
Views
3K
QFT for Gifted Amateur - Problem 2.2
Replies
1
Views
2K
Sending drive Pulse in CQED and visualize the state by QuTip
Replies
6
Views
3K
First order perturbation energy correction to H-like atom
Replies
2
Views
2K
How do I find the energies of these states?
Replies
3
Views
2K
Stark effect: find ground state
Replies
1
Views
3K
I 2nd Order Perturbation Theory Energy Correction
Replies
5
Views
3K
Triple delta potential probability of state transition
Replies
2
Views
3K
Numerically find the energy of the delta-well's bound state
Replies
4
Views
2K

Hot Threads

Recent Insights

Back
Top