I Time independent perturbation theory in atom excitation

  • Thread starter Malamala
  • Start date
Hello! In Griffiths chapter on Time independent perturbation theory, he has a problem (9.20) in which he asks us to calculate the first order contribution to the electron Hamiltonian in an atom if one takes into account the magnetic dipole/electric quadrupole excitations, beside the electric dipole, which he derives in the main text. As far as I understand, these excitations are smaller compared to the dipole excitation. So if I want to include them in the calculations (to first order in the perturbation theory), do I need to go to higher order in the perturbation theory for the dipole part, or first order is still enough? Basically my question is, can second (or higher) order (in perturbation theory) approximation of the electric dipole transitions, give a similar contribution to first order (in perturbation theory) approximation coming from the magnetic dipole/electric quadrupole transitions? For example (assuming random units), if the first order correction to the dipole part is ##H^1_d=1## and the second order is ##H^2_d=0.01## while the first order correction to the quadrupole part is also ##H^1_q=0.01##, I would expect that one needs to go to second order in the dipole part, such that the perturbing hamiltonians of the same order of magnitude to be all included. Is this right? Thank you!
 

Want to reply to this thread?

"Time independent perturbation theory in atom excitation" You must log in or register to reply here.

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving

Hot Threads

Top