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?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

**Physics Forums | Science Articles, Homework Help, Discussion**