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nickdi
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Homework Statement
Find the resul of [Jx Jy , Jz] where J is the angular momentum operator.
Possible answers to this multiple chioce question are
A) 0
B) i ħ Jz
C) i ħ Jz Jx
D) i ħ Jx Jz
E) i ħ Jx Jy
Homework Equations
[AB,C]=A [B,C]+[A,B] B
[Ji , Jj]=i ħ εijk Jk where εijk is the Levi-Civita symbol
The Attempt at a Solution
First of all, I used the first formula in this way
[Jx Jy , Jz]=Jx[Jy , Jz]+[Jx , Jz]Jy
Second, I used the second formula to write
Jx[Jy , Jz]+[Jx , Jz]Jy=i ħ(J2x-J2y)
Now I am stuck here because this result is not listed in the possible answers.
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