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Unformatted text preview: we get (9.11) If we just rearrange some brackets, we find (9.12) If we now use (9.13) we see that (9.14) how that (9.15) We thus conclude that (we use the notation for the eigenfunction corresponding to the eigenvalue ) (9.16) So using we can go down in eigenvalues, using we can go up. This leads to the name lowering and raising operators (guess which is which?). We also see from ( 9.15 ) that the eigenvalues differ by integers only!...
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