Probability inside finite square well

[kraigandrews]

Homework Statement

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

Homework Equations

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

A=(2/L)^1/2

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

 

[SammyS]

That seems right to me.

 

[vela]

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.