Probability inside finite square well

AI Thread Summary
The discussion focuses on calculating the probability of a particle being in the first third of a finite square well while in the ground state. The wave function is given as \Psi(x)=Asin((n*pi)/L), with A defined as (2/L)^(1/2). Participants emphasize that probability is determined by squaring the wave function and integrating over the specified range, which should be from 0 to L/3. However, there is a critical note that the provided wave function appears to be for an infinite square well, not a finite one. Accurate application of the correct wave function is essential for obtaining the correct probability.
kraigandrews
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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 \Psi2

so i would think it would just be square the wave function and integrate from 0 to 1/3
 
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That seems right to me.
 
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.
 
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