Practice with Dirac notation and matrix elements: angular momentum. The action of the ladder operators of angular momentum is defined by

(5 points) Practice with Dirac notation and matrix elements: angular momentum. The action of the ladder operators of angular momentum is defined by L+|lm) = hvl(1+1) -m(m + 1)|lm+1), L_[lm) = hvi(1+1) -m(m -1)|lm-1) where Im) are simultaneous eigenstates of L, and 12 operators, i.c. L=\\lm) = hm|lm) L2[lm) = hal(1 + 1)|lm) and -1 5 m