A particle in the ground state of an infinite square well is perturbed by a transient effect described by the Hamiltonian (in coordinate representation) \begin{equation*} H (x; t) = A_0 \sin\big(\frac{2\pi x}{L}\big) \delta(t) \end{equation*} where \(A_0\) is a constant with the dimensions of action. What is the probability that after this jolt an energy measurement will find the system in the first excited state?
Source{Daniel F. Styer}
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4727:Diamond Point
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