- Q2 10 Points For A System Of Three Electrons Spin S 2 The Resultant Spin Angular Momentum Quantum Numbers Are S 1 (33.97 KiB) Viewed 242 times
Q2. (10 points) For a system of three electrons (spin, S = ½2) the resultant spin angular momentum quantum numbers are S = 3/2, 1/2 (a) Show that the functions a(1)a(2)a(3) and B(1)B(2)B(3) where the numbers denote the electrons, are eigenfunctions of both Ŝ² and Ŝz corresponding to S = 3/2. (b) Construct the other eigenfunctions corresponding to S = 3/2 What are the eigenvalues of $2 and Ŝ, in each? Hint: Use the identity S² = S+ S+S₂2² - S₂ħ Where Ŝ+ = Ŝ₁+ + Ŝ2+ + Ŝ3+ and SzS1z + S2z+ Ŝ3z =