A Simple angular momentum analysis question (check my solution please)

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Wan Anavan
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Homework Statement
Analysis of Angular Momentum
Relevant Equations
Commutators
Commutators Angular Momentum.jpeg

is my solution correct?
 
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:welcome:

Not the way you write it. $$[L_x,L_y]=-i\hbar L_z$$

[edit] Sorry for confusing you. I made (a single) a sign error too !

The intention was to write $$[L_x,L_y]=\ \ \ i\hbar L_z\\ \ [L_y,L_x]=-i\hbar L_z$$

Two wrongs doesn't make a right
 
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BvU said:
No. Write out L+L+ and L−L− and explicitly multiply
PeroK said:
You are not being careful enough. You must write out more steps as you're going wrong with the shortcuts.
last commutation.jpeg

then the answer is not zero
 
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[ hijack ]
BvU said:
Two wrongs doesn't make a right
LOL. Shouldn't that be "Too wrongs doesn't make a right"? :wink:

[ /hijack ]