Considering only orbital angular momentum, estimate the energy level separation between electron states in a magnetic field of 1 Tesla applied along the z direction.
I am confused by how to even start this question! Isn't orbital angular momentum...
Thank you very much.
So what I have done is
for eigenvalue h+g I have two equations
hx+gy=hx+gx and gx+hy = hy+gy which gives x=y so eigenvalue h+g has eigenvector (1,1)
and for eigenvalue h-g I have two equations
hx+gy=hx-gx and hx+gy=hy-gy so x=-y so eigenvalue h-g has eigenvector...
I have a matrix
H= [h g
and I need to find the eigenvalues and normalised eigenvectors
The Attempt at a Solution
I subtracted lamda from the diagonal and then solved for the determinant equally zero. The eigenvalues I found were...
you first need to find the cut off frequency wd by using the linear dispersion relation. For the Debye model w is proportional to k. At the long wavelength limit k=pi/a where a is the dimension of the unit cell. Having found w you can then substitute it back into your first equation for temperature.
Wavefunctions for Indistinguishable and Distinguishable particles - URGENT
A one-dimensional potential well has a set of single-particle energy eigenstates Un(x) with energies En=E_o n^2 where n=1,2,3... Two particles are placed in the well with three possible sets of...
I have having difficulty explaining the splitting of helium atom energy levels for three different cases:
1)Coulomb interaction is ignored
2)Coulomb interaction is present but exchange interaction is neglected
3)Coulomb and exchange interactions are present
I have the ionic compound cesium chloride and have been asked to use the equation
p(k) = (sum over j) exp(-iK.r)f(k)
to find the structure factor for x-ray diffraction from cesium and explain why it can take two values. It also asks how you would expect the intensities...
The Hamiltonian of a system has the matrix representation
H=Vo*(1-e , 0 , 0
0 , 1 , e
0 , e , 2)
Write down the eigenvalues and eigenvectors of the unperturbed Hamiltonian (e=0)
when unperturbed the Hamiltonian will...
I was trying to work through some quantum physics questions and I was getting a bit confused. I know that for fermions the wavefunction must consist of spin and spatial parts of the fermionic wavefunction with opposite exchange symmetry (ie antisymmetric spin and symmetric...
I am looking at the relativistic correction to the kinetic energy for a hydrogen atom. I am told that the perturbation is usually written as
H = -p^4/(8 m^3 c^2)
and need to find the energy shift
I know that from the perturbation theory the energy...