Word Count : 222

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The eigenfunction of a particle in a one-dimensional box of length (L) is [ \psi_n(x) = \sqrt{\frac{2}{L}} \sin\left(\frac{n \pi x}{L}\right), \quad n = 1,2,3,\dots ] The momentum operator in the (x)-direction is [ \hat{p}_x = -i \hbar \frac{d}{dx}. ] i) Check if (\psi_n(x)) is ______ _________ _______ __________ _____ _________ ____ ____ ______ _____ _______ ____.
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