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Could the function (x) = Asin(x/L) for 0 s x s L and (x) = 0 elsewhere (where A and L are real and positive

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Could the function (x) = Asin(x/L) for 0 s x s L and (x) = 0 elsewhere (where A and L are real and positive constants) possibly be a valid quanton wavefunction under the right circumstances? Why or why not

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