1-ll2 -l2l, -l3一3.=nz当上式中=n23nN.N2N3,n2,n— 为整数ni2e-i(k*'-k)Rm = N,N,N, = NZ则有QmI-l12- l2l3 -lF=n3=n2任意一项不满足nN,N2N3-i(k-k)Rm = 0Z则有emE
1 1 2 2 3 3 1 2 3 1 2 3 , , l l l l l l n n n N N N 1 2 3 i m m e N N N N k k R 0 i m m e k k R 当上式中 1 2 3 n , n , n —— 为整数 则有 任意一项不满足 1 1 2 2 3 3 1 2 3 1 2 3 , , l l l l l l n n n N N N 则有
-i(k'-k).RmZe-i(k'-k)sV () dE(k'|V(r)|k)QeNm34k-bbD十N.NN,4k'-k= nb, +n,b2 +n,b, =G-i(k'-k).RmZm=N,N,N, = Neme-iG,$V (3)dE =V,(k'|V(r)|k)E
1 1 2 2 3 3 n k k n b n b n b G 0 0 0 1 n v i V n e V d V v G ξ k r k ξ ξ 0 ( ) 0 0 1 1 m v i i m V e V d e v N k k ξ k k R k r k ξ ξ 1 1 2 2 3 3 1 2 3 1 2 3 l l l l l l N N N k k b b b ' 1 2 3 i m m e N N N N k k R