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## Homework Statement

Show that the operator

[tex]O = i\frac{d^{3}}{dx^{3}}[/tex]

has real eigenvalues

## Homework Equations

Differentiate a wave function 3 times

## The Attempt at a Solution

I know the process of differentiating a wave function (as many times as you like) and it giving the wave function back multiplied the eigen value. But this question seems so general, what wave function should I choose?

thanks in advance for any pointers