20. Show that the eigenfunctions ψn (x) = √

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20. Show that the eigenfunctions ψn (x) = √ (2 / l) sin (nπ / l) x and ψm (x) = √ (2 / l) sin (mπ / l) x describing the state of a particle in a one-dimensional potential pit width l with infinitely high walls, satisfy the orthogonality.

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Detailed solution. Decorated in Microsoft Word 2003. (Target decided to use formula editor)

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