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(2)n≥0,m=1,2, 0.m≠n 3)py(x)ym(xyx= (4)f(x)=ECm'm(x),Cm-Lp(x)f(x)ym(x)dx x=X"(x)+X(x)=0(1),0<x<1 例:1S-L问题 x(o)=0.X(=0(2) q(x)=?p(x)=? ②λ=?本征函数?M=2 0, 1,2, ; ( )lm ³ = m L 2 0, 3 ( ) ( ) , b n m a n m n y x y x dx N m n r ì ¹ = í î = ( ) ò 1 4 ( ) ( ), ( ) ( ) ( ) b m m m m a m f x C y x C r x f x y x dx ¥ = ( ) = = å ò ( ) ( ) 0 (1), 0 - ( ) 0, ( ) 0 (2), X x X x x l S L X o X l ì ¢¢ + l = < < í î = = 例:1. 问题 ① ① q(x x ) = = ? r( ) ? ② l = ? 本征函数=? 2 ? Nl =
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