Writing perturbed wave function

[TheBlueDot]

Hello,

I'm trying to write a wave function for a perturbed system. The original (unperturbed) wave function has two solutions for even and odd n-values, for example $sin(n \pi x)$ for even-n and $cos(n\pi x)$ for odd-n. Then, the perturbed wave function also has an even and odd solutions. My question is does $k^{(0)}$ in the attachment also need to be even or odd according to even and odd n-values?Thanks!

 

[PeterDonis]

@TheBlueDot putting equations in attached images is not allowed on PF. Please use the PF LaTeX feature to post your equation directly in the thread. You can find help on how to do that here:

https://www.physicsforums.com/help/latexhelp/