Unformatted text preview: determined by normalization) and the recursion formula give us all the other constants c j . Truncation: If we keep and infinite number of terms the V( ρ ) diverges as r → ∞ hence we must find a way to terminate the series such that ∑ = − + = max 1 ) ( j j j j l c e U and 1 max = + j c . Hence require that ) 1 ( 2 max = − + + l j . If we define n = j max + l + 1, with j max = 0, 1, 2, … then ρ = 2n and 2 2 2 2 2 2 2 2 n mc mc E n − = − = , with n = 0, 1, 2 … and l max = n 1....
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This note was uploaded on 05/29/2011 for the course PHY 4064 taught by Professor Fields during the Spring '07 term at University of Florida.
 Spring '07
 FIELDS
 mechanics

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