# LaTeX2HTML 96.1 (Feb 5, 1996)
# Associate images original text with physical files.

$key = q/{}(;SPMlt;jlm_j|V_iJ^i|jlm_j;SPMgt;sum_m';SPMlt;jlm|V_i|j'l'm';SPMgt;;SPMlt;j'l'm'|J^i|jlm;SPMgt;){}/;
$cached_env_img{$key} = ' <IMG WIDTH=444 HEIGHT=20 ALIGN=BOTTOM ALT="tex2html_wrap362" SRC="img10.gif"  > '; 
$key = q/{}(mu^iJ_i=mu_B(J_iJ^i+frac12(S_iS^i+J_iJ^i-L_iL^i))){}/;
$cached_env_img{$key} = ' <IMG WIDTH=296 HEIGHT=21 ALIGN=BOTTOM ALT="tex2html_wrap366" SRC="img14.gif"  > '; 
$key = q/{}(frac;SPMlt;||V||;SPMgt;;SPMlt;||J||;SPMgt;;SPMlt;jlm_j|J_i|jlm_j;SPMgt;){}/;
$cached_env_img{$key} = ' <IMG WIDTH=180 HEIGHT=25 ALIGN=BOTTOM ALT="tex2html_wrap359" SRC="img7.gif"  > '; 
$key = q/{}(g=2.0001){}/;
$cached_env_img{$key} = ' <IMG WIDTH=73 HEIGHT=14 ALIGN=BOTTOM ALT="tex2html_wrap84" SRC="img2.gif"  > '; 
$key = q/{}(triangleE=;SPMlt;jlm_j|mu_B(J_z+S_z)B_z|jlm_j;SPMgt;=mu_BB_zm_j+mu_BB_z;SPMlt;jlm_j|S_z|jlm_j;SPMgt;){}/;
$cached_env_img{$key} = ' <IMG WIDTH=539 HEIGHT=16 ALIGN=BOTTOM ALT="tex2html_wrap356" SRC="img4.gif"  > '; 
$key = q/{}(;SPMlt;jlm_j|V_i|jlm_j;SPMgt;){}/;
$cached_env_img{$key} = ' <IMG WIDTH=125 HEIGHT=16 ALIGN=BOTTOM ALT="tex2html_wrap358" SRC="img6.gif"  > '; 
$key = q/{}(H=H_0-gmu_BS_iB_i){}/;
$cached_env_img{$key} = ' <IMG WIDTH=140 HEIGHT=14 ALIGN=BOTTOM ALT="tex2html_wrap83" SRC="img1.gif"  > '; 
$key = q/{}(;SPMlt;jlm_j|V^i|jlm_j;SPMgt;=frac12j+1;SPMlt;||V||;SPMgt;;SPMlt;J1m_jq|jm_j;SPMgt;){}/;
$cached_env_img{$key} = ' <IMG WIDTH=369 HEIGHT=23 ALIGN=BOTTOM ALT="tex2html_wrap357" SRC="img5.gif"  > '; 
$key = q/{}(=frac;SPMlt;||V||;SPMgt;;SPMlt;||J||;SPMgt;(j(j+1))){}/;
$cached_env_img{$key} = ' <IMG WIDTH=134 HEIGHT=25 ALIGN=BOTTOM ALT="tex2html_wrap364" SRC="img12.gif"  > '; 
$key = q/{}(;SPMlt;J_i;SPMgt;){}/;
$cached_env_img{$key} = ' <IMG WIDTH=47 HEIGHT=13 ALIGN=BOTTOM ALT="tex2html_wrap360" SRC="img8.gif"  > '; 
$key = q/{}(H=H_0-f(r)gmu_B^2L_iS_i){}/;
$cached_env_img{$key} = ' <IMG WIDTH=169 HEIGHT=18 ALIGN=BOTTOM ALT="tex2html_wrap85" SRC="img3.gif"  > '; 
$key = q/{}(=frac;SPMlt;||V||;SPMgt;;SPMlt;||J||;SPMgt;;SPMlt;jlm|J_iJ^i|jlm;SPMgt;=){}/;
$cached_env_img{$key} = ' <IMG WIDTH=214 HEIGHT=25 ALIGN=BOTTOM ALT="tex2html_wrap363" SRC="img11.gif"  > '; 
$key = q/{}(;SPMlt;||V||;SPMgt;;SPMlt;||J||;SPMgt;){}/;
$cached_env_img{$key} = ' <IMG WIDTH=145 HEIGHT=16 ALIGN=BOTTOM ALT="tex2html_wrap361" SRC="img9.gif"  > '; 
$key = q/{}(;SPMlt;jlm_j|V_i|jlm_j;SPMgt;=;SPMlt;jlm_j|J_i|jlm_j;SPMgt;frac;SPMlt;jlm_j|V_iJ^i|jlm_j;SPMgt;j(j+1)){}/;
$cached_env_img{$key} = ' <IMG WIDTH=388 HEIGHT=31 ALIGN=BOTTOM ALT="tex2html_wrap365" SRC="img13.gif"  > '; 
$key = q/{}(;SPMlt;mu_zB_z;SPMgt;=fracm_jmu_BB_zj(j+1)[j(j+1)+frac34+frac12(j(j+1)+frac34-l(l+1))]=g_jlsm_jmu_BB_z){}/;
$cached_env_img{$key} = ' <IMG WIDTH=539 HEIGHT=26 ALIGN=BOTTOM ALT="tex2html_wrap367" SRC="img15.gif"  > '; 
$key = q/{}(g_jls=[fracfrac32j(j+1)+frac38-frac12(l(l+1)j(j+1)]){}/;
$cached_env_img{$key} = ' <IMG WIDTH=189 HEIGHT=28 ALIGN=BOTTOM ALT="tex2html_wrap368" SRC="img16.gif"  > '; 

1;

