The spin coherent states are defined in terms of the Fock states as 2j 2j la,. a"|n) j= 0, 5,1, .. %3D n=0 1) Determine the normalization constant N. 2) Evaluate the expectation value of the operator ata with respect to |a, j). Hint: (:)- 2j! n!(2j n)! 2j 2j 2j ( la1an = (1+ |a*)* n=0 2j 1) 2j E laparn = 2;j|la (1 + |a{*)i-1 n=0 [a, a*] = I %3D aln) = Vn]n 1), at|n) = Vn + 1|n +1), ataln) = n|n). %3D 1/2