- #1

- 212

- 4

## Main Question or Discussion Point

There is something that I just want to make sure I am understanding.

I read once before that ∫

Anyway, much later I believe I read that the formula was supposed to be:

∫

(which is the same integral except the integrand is multiplied by x).

Can anyone tell me which integral is the correct one or if they are both correct and they just describe two different things?

I read once before that ∫

_{a}^{b}abs(ψ)^{2}dx will give you the probability that your particle will appear in region between x=a and x=b. Note: abs(ψ)^{2}means the square of the magnitude of the wave function. I just couldn't find any absolute value bars in the latex and the notation for magnitude looks like absolute value bars around the function. That is why I typed abs, but I really mean the magnitude.Anyway, much later I believe I read that the formula was supposed to be:

∫

_{a}^{b}xabs(ψ)^{2}dx(which is the same integral except the integrand is multiplied by x).

Can anyone tell me which integral is the correct one or if they are both correct and they just describe two different things?