A particle is known to be in the second excited state of an infinite square well with length L. Calculate the probability that this particle will be found in the middle half of the well, that is between x = L/4 and x = 3L/4.
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Step 1:** Calculate the wave function for the particle in the second excited state of an infinite square well with length L: \[ \psi(x) = \sqrt{\frac{2}{L}} \sin\left(\frac{\pi x}{L}\right) \] ** Show more…
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