Answered: (5) Work out the commutation relation: | bartleby

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**Problem 5: Commutation Relation**

Work out the commutation relation:

\[
\left[ \hat{L}_z, \hat{p}_x \right]
\]

**Explanation:**

In quantum mechanics, the commutation relation is an expression that quantifies the extent to which two operators do not commute. Here, \(\hat{L}_z\) represents the angular momentum operator along the z-axis, and \(\hat{p}_x\) represents the momentum operator along the x-axis. The commutator \(\left[ \hat{L}_z, \hat{p}_x \right]\) is evaluated to determine the relationship between these two operators.

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