3. A useful recursion relationship for the associated Legendre Polynomials (solution to the θ-equation) is 2J1...
A useful recursion relationship for the associated Legendre Polynomials (solution to the θ-equation) is cose pm 2J + 1 COS Show that each of these functions obey the recursion relationship.
From Arfken, demostrate equation 12.85. Step by step solution please. Associated Legendre Polynomials The regular solutions, relabeled pn (x), are (12.73c) These are the associated Legendre functions.16 Since the highest power of x in Pn (x) is xn, we must have m n (or the m-fold differentiation will drive our function to zero) In quantum mechanics the requirement that m n has the physical interpretation that the expectation value of the square of the z component of the angular momentum...