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

I Deriving the properties of Lz

  1. Apr 7, 2016 #1
    Hi,
    I have a question
    Given the function
    LzYilm(θ,ϕ) =mħYilm(θ,ϕ)
    What steps can I take to confirm that
    Lz=ħ,0,-ħ
     
  2. jcsd
  3. Apr 7, 2016 #2
    you are writing an eigen value equation for the z component of angular momentum operator called Lz
    Ylm are spherical harmonics which are eigen functions of L^2 and Lz
    if L=1 then m can take values +1, 0, -1 so the possible eigen values will be -h bar, 0, hbar

    now you are asking what steps to confirm - then you can write the form of Lz and apply on spherical harmonics with l=1 and see what possible values comes out from eigen value equation.
     
  4. Apr 7, 2016 #3
    Umm.... how do I go about that?! Please understand am like super new on quantum mechanics
    Please show me :cry::cry:
     
  5. Apr 7, 2016 #4
  6. Apr 7, 2016 #5
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Deriving the properties of Lz
  1. Discretization of Lz (Replies: 11)

Loading...