Homework Statement
H = \frac{2e^2}{\hbar^2 C} \hat{p^2} - \frac{\hbar}{2e} I_c cos\hat\theta ,
where [\hat\theta , \hat{p}] = i \hbar
How can we write the expression for the Hamiltonian in the basis |\theta>
Homework EquationsThe Attempt at a Solution
I have already solved most part of...
Is it that when we affect the system by a little, then we are to find out the how much the system changes?
And by degenerate, it means that energy eigenvalues are the same for all states it act on?
How do we apply the theory?
Do I need to assume anything?
For unperturbed,
|-1> => E^0_{-1} =-\hbar
|0> => E^0_{0} = 0
[itex] |+1> => E^0_{+1} =+\hbar
Correct?
How do we create the new basis for the H' then?
Homework Statement
We have spin-1 particle in zero magnetic field.
Eigenstates and eigenvalue of operator \hat S_z is - \hbar |-1> , 0 |0>
and \hbar |+1> .
Calculate the first order of splitting which results from the application of a weak magnetic field in the x direction.
Homework...