# I Electron wavefunction as an overlap of orbitals

1. Jun 4, 2017

### WrongMan

so im finishing up my studies of intro to quantum mechanics, and this is not in my book and looking at previous exams i have to know this for single electron atoms/ions.
one of the problems was somethin like
"the wave function of an electron is the overlap of the orbitals:
Ψ=aΨ1s+i/√3Ψ2p+¾Ψ3s
find avg energy. what is the probability of measuring it?"
i dont want help solving this, can you just point me to an website/book that covers this? thank you

2. Jun 4, 2017

### Staff: Mentor

"Something like" or "exactly like"? If I'm understanding the question properly by reading "overlap" as "superposition", it only makes sense for one particular value of $a$. And (again, if I'm understanding the question properly) the answer is going to be in your book - somewhere it will talk about expectation values of measurements.

3. Jun 5, 2017

### DrDu

I wouldn't call it the "overlapp" but a superposition. The orbitals making up the superposition are orthogonal, so technically, they have no overlapp.

4. Jun 5, 2017

### WrongMan

thanks for yur answers sorry about the overlap thing it was a translation problem.
and the problem i presentd was in an actual exam but all of them always have a problem like that.
im gonna take a carefull look at both books ive got