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

  1. Sep 1, 2010 #1
    Here is the known formula for the spin: S=0.5*[STRIKE]h[/STRIKE]*[tex]\sigma[/tex]
    is this formula correct also to the orbital Angular momentum (L) and to the total Angular momentum?
    I think it is correct because S,L,J operators that belong to Lie algebra/group.
    Is it true?
  2. jcsd
  3. Sep 1, 2010 #2


    User Avatar
    Science Advisor

    No. The orbital angular momentum has a special form:

    {\bm L} ~=~ {\bm Q} ~\times~ {\bm P}

    where Q and P satisfy the usual Heisenberg commutation relations.
    This extra restriction causes a corresponding restriction in the
    possible eigenvalues of orbital angular momentum, namely that
    only integer values are allowed.

    Details can be found in Ballentine, pp169-170.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Threads - Angular momentum Date
I Macroscopic rotation from spin flipping? Mar 3, 2018
I Optical angular momentum Mar 3, 2018
I Angular momentum state of a system Dec 10, 2017
I Measurement Values for z-component of Angular Momentum Nov 18, 2017