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Unformatted text preview: (7.26) (In analogy with matrix diagonalisation one often speaks of eigenvalues or eigenenergies for , and eigenfunctions for .) Once again it is relatively straightforward to show how to normalise these solutions. This can be done explicitly for the first few polynomials, and we can also show that (7.27) This defines the orthogonality of the wave functions. From a more formal theory of the polynomials it can be shown that the normalised form of is (7.28)...
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- Fall '10
- Physics, Polynomial Solutions, terminating solutions