Square of expectation value

1. Feb 26, 2006

ghallya

hi all

can sombody show me the way I could get
the square expectation value for a particle in a box

where the answer is given to us :

2. Feb 26, 2006

Staff: Mentor

$$<x^2> = \int {\psi^*(x) x^2 \psi(x)dx}$$

For the limits of integration, use the positions of the ends of the box. Some books use a box with 0 < x < L, others use -L/2 < x < +L/2, with correspondingly different wavefunctions.

3. Feb 27, 2006

G.F.Again

Where psi is orthonormal.