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Commutation of angular momentum operators

  1. Apr 28, 2009 #1
    1. The problem statement, all variables and given/known data

    None of the operators Lz, Ly and Lx commute. Show that [Lx,Ly] = i(h-cross)Lz


    2. Relevant equations

    Where Lx is defined as Lx=-ih ( y delta/delta x - z delta/delta y)
    Where Ly is defined as Ly=-ih ( z delta/delta x - x delta/delta z)
    Where Lz is defined as Lz=-ih ( x delta/delta y - y delta/delta x)

    3. The attempt at a solution
     
  2. jcsd
  3. Apr 28, 2009 #2

    Cyosis

    User Avatar
    Homework Helper

    Use the following commutator identities:

    [tex]
    \begin{align*}
    & [A,B+C]=[A,B]+[A,C]
    \\
    & [A,BC]=[A,B]C+B[A,C]
    \end{align*}
    [/tex]
     
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