A particle in a one dimensional box of size L with potential given by
\begin{eqnarray*} V(x) = \left\{ \begin{array}{ll}
0 & 0 \le x \le L \\ \infty & \mbox{otherwise}
\end{array} \right. \end{eqnarray*} has the wave function
$$\psi_0(x) = A x(x-L) $$ What is the probability that the particle will have energy $E_n$ $$ E_n = {n^2\pi^2\hbar^2\over 2mL^2} ?$$
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4727:Diamond Point
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