- #1
Wan Anavan
- 2
- 1
- Homework Statement
- Analysis of Angular Momentum
- Relevant Equations
- Commutators
is my solution correct?
Last edited:
A Simple angular momentum analysis question (check my solution please)
- Thread starter Wan Anavan
- Start date
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Homework Help Overview
The discussion revolves around the analysis of angular momentum, specifically focusing on the properties of commutators in quantum mechanics.
Discussion Character
- Conceptual clarification, Mathematical reasoning
Approaches and Questions Raised
- Participants are questioning the correctness of a solution regarding the commutation relations of angular momentum operators. There are suggestions to write out specific expressions and to avoid shortcuts in calculations.
Discussion Status
The discussion includes various attempts to clarify the correct formulation of commutation relations. Some participants provide guidance on how to approach the problem more carefully, while others express confusion about the original poster's solution.
Contextual Notes
There are indications of errors in the original poster's notation and calculations, as well as references to the need for more detailed steps in the analysis. The conversation also includes a light-hearted comment that deviates from the main topic.
is my solution correct?
- #2
BvU
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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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- #3
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Wan Anavan said:
You are not being careful enough. You must write out more steps as you're going wrong with the shortcuts.
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- #4
BvU
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No. Write out ##L_+## and ##L_-## and explicitly multiply
- #5
Wan Anavan
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BvU said:
PeroK said:
then the answer is not zero
- #6
BvU
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This time answer and solution are correct.
You can check yourself by working out ##\Bigl [L_+,L_-\Bigr ]##
You can check yourself by working out ##\Bigl [L_+,L_-\Bigr ]##
- #7
berkeman
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[ hijack ]
[ /hijack ]
LOL. Shouldn't that be "Too wrongs doesn't make a right"?BvU said:
[ /hijack ]
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