1. Not finding help here? Sign up for a free 30min 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!

Angular Momentum (Modern Physics)

  1. Oct 31, 2008 #1
    1. The problem statement, all variables and given/known data
    This problem is giving me a headache and unfortunately I can't find any example that is similar to it.
    A hydrogen atom is in the n = 3, l = 2 state.

    (a) What are the possible values of j?

    (b) What are the possible values of the magnitude of the total angular momentum including spin?

    (c) What are the possible z components of the total angular momentum?


    2. Relevant equations



    3. The attempt at a solution

    (a)
    I believe that jmax = l + 1/2
    and jmin = l - 1/2 so...
    jmax = 5/2
    jmin = 3/2
    so
    j = 5/2, 3/2

    (b)

    J = L + S
    J = sqrt( j (j+1) )

    J1 = sqrt(35)/2 hbar --> (j =5/2)
    J2 = sqrt(15)/2 hbar --> (j=3/2)


    (c)

    j = 3/2; mj = +- 3/2, +- 1/2
    j = 5/2; mj = +-5/2, +-3/2, +-1/2


    I am very unsure about this whole process. My book unfortunately doesn't have any examples of this process. Can anyone check my work and see if what I am doing is correct? In particular I am very unsure of part b, it just seems a bit strange to me despite following the formula.

    Thanks
    roeb
     
  2. jcsd
  3. Oct 31, 2008 #2
    it all looks correct!
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Angular Momentum (Modern Physics)
  1. Modern Physics (Replies: 4)

Loading...