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Unformatted text preview: our solutions is that they diverge at infinity. Notice that if there is an integer such that (7.17) that , and , etc. These solutions are normalisable, and will be investigated later. If the series does not terminates, we just look at the behaviour of the coefficients for large , using the following Theorem: The behaviour of the coefficients of a Taylor series for large index describes the behaviour of the function for large value of . Now for large , (7.18) which behaves the same as the Taylor coefficients of : (7.19) and we find (7.20) which for large is the same as the relation for . Now , and this diverges. ......
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This note was uploaded on 11/09/2011 for the course PHY PHY2053 taught by Professor Davidjudd during the Fall '10 term at Broward College.
 Fall '10
 DavidJudd
 Physics

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