哈密顿算子 ■例3验证 j(ax刊：dl=2jads a为常东 ·[证] (a×)dl=jxax]:d本 V×(ā×)=7×(a.×)+V×(a×F 7×(a×F)=a(V·)-(a.V)i 7×(a×T)=(厅·V)ā-(@ V×(ā×T)=a7.)=(āV)严+(f.Va-下(V.a) a7)7=a +a. =ax+ay+ai=a 7×(a×)=2a 中(a)小d1=2a:d返 lexu@mail.xidian.edu.cn 16哈密顿算子 例 验 () 2 dl d        例3 验证 l() 2 为常矢 S a r    dl a ds       ( ) [ ( )] dl d        a 为常矢 • [证] ( ) [ ( )] l S a r    dl   a r ds       () ( ) ( ) c c       ar a r ar      ( ) ( )( ) cc c       ar a r a r      ( )( ) ( ) cc c       ar r ar a      ( ) ( )( ) cc c ( )( ) ( ) cc c           ( ) ( )( ) ( ) ( ) ar a r a r r ar a          ( ) xyz rrr a ra a a x y z                ˆ ˆ ˆ xyz  ax a y az a lexu@mail.xidian.edu.cn 16 y    ( )2 ar a    () 2 l S a r dl a ds          