At a given point, the wave function of a particle in a non normalisable state is 1+sin^2(kx). When you measure thekinetic energy, which values are expected and with which probabilities?
The Attempt at a Solution
I guess I should apply the operator <P2> to the wave function, call it f(x), so
and I finally end up with -h2k2/m (cos2kx-sin2kx)
so? does that mean we have -h2k2/m and h2k2/m with 50% probability each?
Is this rigth if we can't normalise the wave function?