Question

An operator Qˆ is given by Qˆ = xpy − ypx where px = −ih∂/∂x ¯...

An operator Qˆ is given by Qˆ = xpy − ypx where px = −ih∂/∂x ¯ and py = −ih∂/∂y ¯ . Determine whether Qˆ is Hermitian. What does Qˆ represent?

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Answer #1

Firstly see that x and p operators are hermitian.

L= angular momentum

X= position

P= linear momentum

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