- #1

- 38

- 0

## Homework Statement

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?

## Homework Equations

K=<P

^{2}>/2m

## The Attempt at a Solution

I guess I should apply the operator <P

^{2}> to the wave function, call it f(x), so

K=-h

^{2}d

^{2}f(x)

and I finally end up with -h

^{2}k

^{2}/m (cos

^{2}kx-sin

^{2}kx)

so? does that mean we have -h

^{2}k

^{2}/m and h

^{2}k

^{2}/m with 50% probability each?

Is this rigth if we can't normalise the wave function?

thanks