1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Effects of Magnetic field applied to Hydrogen-like atom.

  1. Apr 21, 2009 #1
    1. Apply a magnetic field B to a hydrogen like atom. This gives rise to an additional potential energy term of mu_b*B*L_z/hbar

    a) Show that the eigenfunction PSI_nlm is still an eigenfunction in the presence of the magnetic field

    b) Show that the eigenvalues are E_n + m*mu_b*B

    How do you show that the eigenfunction remains?
  2. jcsd
  3. Apr 22, 2009 #2


    User Avatar
    Science Advisor
    Gold Member

    What's the usual Eigenfunction equation? (Hint, it is Schroedinger's equation), how has that changed with this added potential energy term?

    Alternatively, does this new Hamiltonian commute with the old one? What do commuting operators have in common?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook