For a particle with mass m in a 1-D box of length a, show that the first excited state wavefunction is orthogonal to the wavefunction is orthogonal to the second excited state wavefunction.

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 For a particle with mass m in a 1-D box of length a, show that the first excited state
wavefunction is orthogonal to the wavefunction is orthogonal to the second excited state
wavefunction. 

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