- #1

- 2

- 1

- Homework Statement
- Analysis of Angular Momentum

- Relevant Equations
- Commutators

is my solution correct?

Last edited:

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- Thread starter Wan Anavan
- Start date

- #1

- 2

- 1

- Homework Statement
- Analysis of Angular Momentum

- Relevant Equations
- Commutators

is my solution correct?

Last edited:

- #2

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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 $$[L_x,L_y]=\ \ \ i\hbar L_z\\ \ [L_y,L_x]=-i\hbar L_z$$

Last edited:

- #3

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Homework Statement::Analysis of Angular Momentum

Relevant Equations::Commutators

View attachment 261736

is my solution correct?

You are not being careful enough. You must write out more steps as you're going wrong with the shortcuts.

Last edited:

- #4

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No. Write out ##L_+## and ##L_-## and explicitly multiply

- #5

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No. Write out L+L+ and L−L− and explicitly multiply

You are not being careful enough. You must write out more steps as you're going wrong with the shortcuts.

then the answer is not zero

- #6

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You can check yourself by working out ##\Bigl [L_+,L_-\Bigr ]##

- #7

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