The function sin(kx) is an eigenfunction of the KE operator?(adsbygoogle = window.adsbygoogle || []).push({});

my work:

[tex]KE=\frac{- \hbar^2}{2m}\frac{\partial^2}{\partial x^2} sin(kx)[/tex]

[tex]\frac{\hbar^2}{2m}\frac{sin(kx)}{k^2}[/tex]

i'm not sure how to show that a function is an eigenfuntion. what other work do I need to do?

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# Homework Help: Sin(kx) is an eigenfunction of the KE operator?

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