Take the tour ×  How do we normalize a wavefunction that's a
linear combination of sines and cosines (or of
$Ae^{ikx}+Be^{-ikx}$ -- they're the same, right)? One you square
it, wouldn't the integrand be oscillating through all space, and
thus infinite?  share|improve this question Could you please
specify which "things" are supposed to cancel? The norm surely
can't cancel because it is a sum of positively semidefinite
terms. Your function is a combination of plane waves so much
like a single wave, its normal can't be one. One could normalize
similar combinations to a wave function if the $A/B$ ratio were
determined as a function of $k$ and if it were continuous. In
that case, $|A|^2+|B|^2$ would be normalized exactly in the same
way as $|A|^2$ is normalized if there's only one term, one plane
wave. –  Luboš Motl May 13 '11 at 4:45 You wouldn't normalize it
over all space, the wavefunction would be zero, or something
else, outside of a finite range. –  Ramashalanka May 13 '11 at
4:46 @Luboš I'm sorry, I was fo