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## Homework Statement

Within the framework of quantum mechanics, show that the following are Hermitian operators:

a) [tex]p=-i\hbar\bigtriangledown[/tex]

b) [tex]L=-i\hbar r\times\bigtriangledown[/tex]

Hint: In Cartesian form L is a linear combination of noncommuting Hermitian operators.

## Homework Equations

[tex]\int\psi_{1}^{*}\L\psi_{2}d\tau=\int(\L\psi_{1})^{*}\psi_{2}d\tau[/tex]

## The Attempt at a Solution

I understand that a Hermitian operator is self-adjoint, and that it's eigenvalues are real, but as far as proving it, I'm not exactly sure how to use the formula above to do that.

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