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Behaviour for large
Before solving the equation we are going to see how the solutions behave at large
(and also
large
, since these variable are proportional!). For
very large, whatever the value of
,
, and thus we have to solve
(7.11)
This has two type of solutions, one proportional to
and one to
. We reject the first
one as being not normalisable.
heck that these are the solutions. Why doesn't it matter that they don't exactly solve the
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Unformatted text preview: equations? Substitute . We find (7.12) so we can obtain a differential equation for in the form (7.13) This equation will be solved by a substitution and infinite series (Taylor series!), and showing that it will have to terminates somewhere, i.e., is a polynomial!...
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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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