PROOFS PROGRAMME

qm/que/06009

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 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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