(6) Work out the commutation relation: Î,f|

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**Task 6: Commutation Relation Calculation**

Calculate the commutation relation: \([ \hat{L}_z, \hat{r}^2 ]\)

In this task, you are required to determine the commutation relation of the z-component of angular momentum operator \(\hat{L}_z\) and the square of the position operator \(\hat{r}^2\). A solid understanding of quantum mechanics and operator algebra is necessary to solve this problem.
Transcribed Image Text:**Task 6: Commutation Relation Calculation** Calculate the commutation relation: \([ \hat{L}_z, \hat{r}^2 ]\) In this task, you are required to determine the commutation relation of the z-component of angular momentum operator \(\hat{L}_z\) and the square of the position operator \(\hat{r}^2\). A solid understanding of quantum mechanics and operator algebra is necessary to solve this problem.
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