I'm trying to normalize the even wave functions for the finite square well. The wave function is:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\psi(x)=

\begin{cases}

Fe^{\kappa x} & \text{for } x< a\\

D\cos(lx) & \text{for } -a\leq x \leq a\\

Fe^{-\kappa x} & \text{for } x> a

\end{cases}

[/tex]

How can I determine D and F? When I set

[tex]\int_{-\infty}^{\infty}|\psi(x)|^2dx = 1[/tex],

I obtain an equation in the two unknown amplitudes D and F. I could apply some boundary conditions to get more equations, but it gets rather complicated and I know there is an easier way...

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# Normalize the even wave functions for the finite square well

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