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: Spin and Orbital Angular Momentum

  1. Nov 18, 2012 #1
    1. The problem statement, all variables and given/known data

    We have a system of 2 indistinguishable spin-1 bosons. We shall adopt the center of mass frame.

    S = total spin
    L = relative orbital angular momentum
    J = L+S = total angular momentum

    Prove that J = 2m where m is an integer.
    If given that J=1, what are the permissible (L,S) pairs?

    2. Relevant equations
    Bose-Einstein Stats?

    3. The attempt at a solution
    I am lost with this. I have managed to show that for the states S=0, S=2 interchanging particles 1,2 is symmetric, whereas it is antisymmetric for S=1. However, I don't know how to use this here.
    What is the significance of the CoM frame choice?
    Also, due to Bose-Einstein stats, the overall wavefunction should be symmetric under the interchange of the 2 bosons. However, I don't know how even and odd wavefunctions for orbital angular momentum behave. Anyone please?
    Last edited: Nov 18, 2012
  2. jcsd
  3. Nov 19, 2012 #2
    No worries. Problem resolved. Thanks for reading anyways.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook