# Probability inside finite square well

1. Jul 6, 2011

### kraigandrews

1. The problem statement, all variables and given/known data

What is the probability, that the particle is in the first third of the well, when it is in the ground state?

2. Relevant equations

$\Psi$(x)=Asin((n*pi)/L)

A=(2/L)1/2

3. The attempt at a solution

so probablility is related to the wave function by $\Psi$2

so i would think it would just be square the wave function and integrate from 0 to 1/3

2. Jul 6, 2011

### SammyS

Staff Emeritus
That seems right to me.

3. Jul 6, 2011

### vela

Staff Emeritus
The upper limit should be L/3. Make sure you have the correct wave function. The wave function you have is for the infinite square well (and is missing an x), but the title of the thread mentions the finite square well.