Associated Legendre functions P k n (x) ? are needed, e.g., in quantum physics. They are defined by and are solutions of the ODE where q(x) = n(n + 1) - k 2 /(1 - x 2 ). Find P 1 1 (x), P 1 2 (x), P 2 2 (x), and P 2 4 (x) and verify that they
Chapter 5, PROBLEM SET 5.2 #15
Associated Legendre functions Pkn(x)?are needed, e.g., in quantum physics. They are defined by
and are solutions of the ODE
where q(x) = n(n + 1) - k2/(1 - x2). Find P11(x), P12(x), P22(x), and P24(x) and verify that they satisfy (16).
This problem has been solved!
Do you need an answer to a question different from the above? Ask your question!
Answer
P11(x) = (1/2)(3x2 - 1) P12(x) = (3/2)(1 - x2) P22(x) = (3/2)(5x3 - 3x) P24(x) = (15/2)(1…View the full answer
Related Book For 
