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\centerline{\textbf{Particle in an Infinite Square Well Potential 2}}
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A particle of mass $m$ is in an infinite square well potential at $0<x<L$. 

The particle is initially in the state:

$$\psi(x, t=0) = A \sin^2(\pi x/L)$$

\begin{enumerate}
\item	Determine $A$
\item	At $t=0$, what is the probability of finding the particle to have the ground state energy?
\item Find the state of the particle at a later time $t$. Write out the first two non-zero terms of the energy eigenstate expansion of the time evolved state.
\item	What is the probability of finding the particle to have the ground state energy at a later time $t$?
\end{enumerate}




\vfill
\leftline{\textit{by Elizabeth Gire}}
\leftline{\copyright 2/7/2017 Elizabeth Gire}
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