Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

How to create good quantum states from good quantum numbers?

  1. Mar 19, 2005 #1
    how to create "good" quantum states from "good" quantum numbers?

    I think I am finally understanding what the "good" quantum numbers are in degenerate perturbation theroy. Basically, given a perturbation H', if
    [H', L^2] = [H', S^2] = [H', J^2] = [H', Jz] = 0, then
    l, s, j, and mj are the "good" quantum numbers.

    But, I'm a little confused as to how one goes about creating a "good" quantum state from the "good" quantum numbers.

    In particular, I'm wondering about how to create a "good" states for the strong field Zeeman effect ("good" state = | n l ml s ms > ) and the fine structure correction ("good state = | n l s j mj > ).

    i.e. how do I go from: | n l s j mj > to SUM( c R_nl Y_lm |s ms> )?
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted