Question

5. Two particles are initially in a state with definite L12,L22, Ltot2, and Ltotz2 L12-L22-2 h2 Ltot2= Ltot,2-0, As in class, use the appropriate ladder operators to evaluate the "Clebsch-Gordon” coefficients in the sum that relates the initial state to the states | m1,m2). what is the probability that a measurement of Liz will yield Liz= 0?

Answer 1

"the two particle state has L_1^2 = L_2^2 = 2k^2 therefore particles are spin 1 particles L_tot^2 = 0: L_tot z = 0 the state can be write as