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-rw-r--r--dipole_elementRb87D1line.m177
1 files changed, 177 insertions, 0 deletions
diff --git a/dipole_elementRb87D1line.m b/dipole_elementRb87D1line.m
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+++ b/dipole_elementRb87D1line.m
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+function d=dipole_elementRb87D1line(Fl,ml,Fu,mu)
+% Fl, ml are F and m quantum numbers of lower state
+% Fu, mu are F and m quantum numbers of upper state
+% F is total momentum and m is projection
+ d.left = 0; %default return value
+ d.linear = 0; %default return value
+ d.right = 0; %default return value
+ if ( mu==(ml+1) )
+ % sigma plus polarization
+ % ------ Fl=2 -> Fu=2 --------
+ if ( (ml==-2) & (Fl==2) & (Fu==2) )
+ d.right=sqrt(1/6);
+ endif
+ if ( (ml==-1) & (Fl==2) & (Fu==2) )
+ d.right=sqrt(1/4);
+ endif
+ if ( (ml== 0) & (Fl==2) & (Fu==2) )
+ d.right=sqrt(1/4);
+ endif
+ if ( (ml== 1) & (Fl==2) & (Fu==2) )
+ d.right=sqrt(1/6);
+ endif
+ if ( (ml== 2) & (Fl==2) & (Fu==2) )
+ d.right=0;
+ endif
+ % ------ Fl=2 -> Fu=1 --------
+ if ( (ml==-2) & (Fl==2) & (Fu==1) )
+ d.right=sqrt(1/2);
+ endif
+ if ( (ml==-1) & (Fl==2) & (Fu==1) )
+ d.right=sqrt(1/4);
+ endif
+ if ( (ml== 0) & (Fl==2) & (Fu==1) )
+ d.right=sqrt(1/12);
+ endif
+ if ( (ml== 1) & (Fl==2) & (Fu==1) )
+ d.right=0;
+ endif
+ if ( (ml== 2) & (Fl==2) & (Fu==1) )
+ d.right=0;
+ endif
+ % ------ Fl=1 -> Fu=2 --------
+ if ( (ml==-1) & (Fl==1) & (Fu==2) )
+ d.right = -sqrt(1/12);
+ endif
+ if ( (ml== 0) & (Fl==1) & (Fu==2) )
+ d.right = -sqrt(1/4);
+ endif
+ if ( (ml== 1) & (Fl==1) & (Fu==2) )
+ d.right = -sqrt(1/2);
+ endif
+ % ------ Fl=1 -> Fu=1 --------
+ if ( (ml==-1) & (Fl==1) & (Fu==1) )
+ d.right = -sqrt(1/12);
+ endif
+ if ( (ml== 0) & (Fl==1) & (Fu==1) )
+ d.right = -sqrt(1/12);
+ endif
+ if ( (ml== 1) & (Fl==1) & (Fu==1) )
+ d.right = 0;
+ endif
+ endif
+ if ( mu==(ml+0) )
+ % pi polarization
+ % ------ Fl=2 -> Fu=2 --------
+ if ( (ml==-2) & (Fl==2) & (Fu==2) )
+ d.linear=-sqrt(1/3);
+ endif
+ if ( (ml==-1) & (Fl==2) & (Fu==2) )
+ d.linear=-sqrt(1/12);
+ endif
+ if ( (ml== 0) & (Fl==2) & (Fu==2) )
+ d.linear=0;
+ endif
+ if ( (ml== 1) & (Fl==2) & (Fu==2) )
+ d.linear=sqrt(1/12);
+ endif
+ if ( (ml== 2) & (Fl==2) & (Fu==2) )
+ d.linear=sqrt(1/3);
+ endif
+ % ------ Fl=2 -> Fu=1 --------
+ if ( (ml==-2) & (Fl==2) & (Fu==1) )
+ d.linear = 0;
+ endif
+ if ( (ml==-1) & (Fl==2) & (Fu==1) )
+ d.linear=sqrt(1/4);
+ endif
+ if ( (ml== 0) & (Fl==2) & (Fu==1) )
+ d.linear=sqrt(1/3);
+ endif
+ if ( (ml== 1) & (Fl==2) & (Fu==1) )
+ d.linear=sqrt(1/4);
+ endif
+ if ( (ml== 2) & (Fl==2) & (Fu==1) )
+ d.linear = 0;
+ endif
+ % ------ Fl=1 -> Fu=2 --------
+ if ( (ml==-1) & (Fl==1) & (Fu==2) )
+ d.linear = sqrt(1/4);
+ endif
+ if ( (ml== 0) & (Fl==1) & (Fu==2) )
+ d.linear = sqrt(1/2);
+ endif
+ if ( (ml== 1) & (Fl==1) & (Fu==2) )
+ d.linear = sqrt(1/4);
+ endif
+ % ------ Fl=1 -> Fu=1 --------
+ if ( (ml==-1) & (Fl==1) & (Fu==1) )
+ d.linear = sqrt(1/12);
+ endif
+ if ( (ml== 0) & (Fl==1) & (Fu==1) )
+ d.linear = 0;
+ endif
+ if ( (ml== 1) & (Fl==1) & (Fu==1) )
+ d.linear = -sqrt(1/12);
+ endif
+ endif
+ if ( mu==(ml-1) )
+ % sigma minus polarization
+ % ------ Fl=2 -> Fu=2 --------
+ if ( (ml==-2) & (Fl==2) & (Fu==2) )
+ d.left = 0;
+ endif
+ if ( (ml==-1) & (Fl==2) & (Fu==2) )
+ d.left = -sqrt(1/6);
+ endif
+ if ( (ml== 0) & (Fl==2) & (Fu==2) )
+ d.left = -sqrt(1/4);
+ endif
+ if ( (ml== 1) & (Fl==2) & (Fu==2) )
+ d.left = -sqrt(1/4);
+ endif
+ if ( (ml== 2) & (Fl==2) & (Fu==2) )
+ d.left = -sqrt(1/6);
+ endif
+ % ------ Fl=2 -> Fu=1 --------
+ if ( (ml==-2) & (Fl==2) & (Fu==1) )
+ d.left = 0;
+ endif
+ if ( (ml==-1) & (Fl==2) & (Fu==1) )
+ d.left = 0;
+ endif
+ if ( (ml== 0) & (Fl==2) & (Fu==1) )
+ d.left = sqrt(1/12);
+ endif
+ if ( (ml== 1) & (Fl==2) & (Fu==1) )
+ d.left = sqrt(1/4);
+ endif
+ if ( (ml== 2) & (Fl==2) & (Fu==1) )
+ d.left = sqrt(1/2);
+ endif
+ % ------ Fl=1 -> Fu=2 --------
+ if ( (ml==-1) & (Fl==1) & (Fu==2) )
+ d.left = -sqrt(1/2);
+ endif
+ if ( (ml== 0) & (Fl==1) & (Fu==2) )
+ d.left = -sqrt(1/4);
+ endif
+ if ( (ml== 1) & (Fl==1) & (Fu==2) )
+ d.left = -sqrt(1/12);
+ endif
+ % ------ Fl=1 -> Fu=1 --------
+ if ( (ml==-1) & (Fl==1) & (Fu==1) )
+ d.left = 0;
+ endif
+ if ( (ml== 0) & (Fl==1) & (Fu==1) )
+ d.left = sqrt(1/12);
+ endif
+ if ( (ml== 1) & (Fl==1) & (Fu==1) )
+ d.left = sqrt(1/12);
+ endif
+ endif
+endfunction
+
+
+
+% vim: ts=2:sw=2:fdm=indent