# LaTeX2HTML 96.1 (Feb 5, 1996)
# Associate images original text with physical files.
$key = q/{}(J_-=J^dagger_+){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(J_x=frac(J_++J_-)2){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(|frac12,frac12;SPMgt;=arrayc10array){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}((2j+1)x(2j+1)){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(J_z=arrayccfrac12;SPMamp;00;SPMamp;frac12array){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(j=12){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(J_+=arraycccccm=;SPMamp;j;SPMamp;j-1;SPMamp;...;SPMamp;-jj;SPMamp;0;SPMamp;sqrtj(j+1)-m(m+1);SPMamp;0;SPMamp;0j-1;SPMamp;0;SPMamp;0;SPMamp;sqrtj(j+1)-m(m+1);SPMamp;0...;SPMamp;0;SPMamp;0;SPMamp;0;SPMamp;sqrtj(j+1)-m(m+1)-j;SPMamp;0;SPMamp;0;SPMamp;0;SPMamp;0array){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(j=32){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(J_y=fracJ_+-J_-2i){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(J_z=arrayccc1;SPMamp;0;SPMamp;00;SPMamp;0;SPMamp;00;SPMamp;0;SPMamp;-1array){}/;
$cached_env_img{$key} = ' 
';
1;