Vnp→x,V4nP→xo rw女r -.ow.6a 2().（.(h 贝塞耳方程：xJ(+xJn(x)+(c2-m）J(x)=0 xk[u.(]+(x2-mJ.)=0 -.()=xkw.(-m.()=0 （-g6s+*.四-.四a 27 0 0 , n n     → → x x ( ) ( ) 2 0 2 0 1 x m n m n N J x xdx  =  ( ) 0 2 2 0 1 2 x m n J x dx  =  ( ) ( ) ( ) 0 0 2 2 2 ' 0 0 1 1 2 x x m m m n n x J x x J x J x dx   =  −  ( ) ( ) ( ) 0 2 2 2 ' 0 0 0 1 1 2 x m m m n n x J x x J x J x dx   = −  贝塞耳方程： ( ) ( ) ( ) ( ) 2 " ' 2 2 0 m m m x J x xJ x x m J x + + − = ( ) ( ) ( ) ' 2 2 0, m m d x xJ x x m J x dx   + − =   ( ) ( ) ( ) 2 ' 2 0, m m m d x J x x xJ x m J x dx − = − =     ( ) ( ) ( ) ( ) ( ) ( ) 0 0 2 2 2 2 ' ' ' 0 0 0 0 1 1 2 x x m n m m m m m n n n d m N x J x x xJ x J x dx J x J x dx    dx = + −      