# Wavefunction normalisation and expectation values

1. Dec 11, 2016

### MoAli

1. The problem statement, all variables and given/known data
See Image, Sorry Its easier for me to attach images than writing all equation on the forum's keyboard! I only need to check if i'm working it out correctly up to the position expectation value because I don't want to dive in the rest on wrong basis !

2. Relevant equations

3. The attempt at a solution

2. Dec 11, 2016

### PeroK

You need to try some latex. What you have is correct, except that right at the end in the expected value of $x$, $\alpha$ leapt from the denominator to the numerator.

$\langle x \rangle = \frac{12}{13 \alpha}$

3. Dec 11, 2016

### MoAli

Yeah still trying to learn latex, anyway, where the question asks to prove momentum expectation value is zero without integrals I get stuck, I got <p^2> = \frac{12/h^2}{13 } which still doesnt make sense to me, the units don't work!

4. Dec 11, 2016

### PeroK

Regarding $\langle p \rangle$ you might like to think about complex numbers and expectation values.

I haven't tried to calculate $\langle p^2 \rangle$ or $\langle x^2 \rangle$. You just need to be careful with the integration.