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Commutation of angular momentum operators

  • Thread starter michbar89
  • Start date
  • #1
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Homework Statement



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


Homework 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)

The Attempt at a Solution

 

Answers and Replies

  • #2
Cyosis
Homework Helper
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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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