- #1

Wan Anavan

- 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
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In summary, the conversation involves a discussion about the correctness of a solution related to the analysis of angular momentum and commutators. The expert advises the other person to be more careful and to write out more steps to avoid making mistakes. The person then confirms that the solution is correct and suggests checking it by working out a specific equation. A humorous comment is made at the end, leading to a brief hijack of the conversation.

- #1

Wan Anavan

- 2

- 1

- Homework Statement
- Analysis of Angular Momentum

- Relevant Equations
- Commutators

is my solution correct?

Last edited:

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- #2

BvU

Science Advisor

Homework Helper

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

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- #3

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Wan Anavan said: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

BvU

Science Advisor

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

- #5

Wan Anavan

- 2

- 1

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.

then the answer is not zero

- #6

BvU

Science Advisor

Homework Helper

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

- #7

berkeman

Mentor

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LOL. Shouldn't that be "Too wrongs doesn't make a right"?BvU said:Two wrongs doesn't make a right

[ /hijack ]

Angular momentum is a measure of an object's rotational motion. It is calculated by multiplying the object's moment of inertia by its angular velocity.

Angular momentum is conserved when there is no external torque acting on a system. This means that the total angular momentum of a system will remain constant unless an external force is applied.

Yes, angular momentum can be negative. This occurs when an object's angular velocity is in the opposite direction of its moment of inertia.

Angular momentum is the rotational equivalent of linear momentum. Just as linear momentum is conserved in a system with no external forces, angular momentum is conserved in a system with no external torque.

Angular momentum has many practical applications, including in the fields of physics, engineering, and astronomy. Examples include the spinning of a top, the rotation of a planet around its axis, and the movement of a gyroscope.

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