Final answer:
The eigenvalues and eigenfunctions for the given angular momentum sum with quantum numbers s₁ = 3/2 and s₂ = 3/2 can be found using the Clebsch-Gordan coefficients.
Step-by-step explanation:
The eigenvalues and eigenfunctions for the angular momentum sum are determined by the quantum numbers representing the individual angular momenta. In this case, the quantum numbers are s₁ = 3/2 and s₂ = 3/2.
The eigenvalues for the total angular momentum can be found by adding the quantum numbers: s = s₁ + s₂. In this case, s = 3/2 + 3/2 = 3.
The eigenfunctions for the total angular momentum can be determined using the Clebsch-Gordan coefficients. The eigenfunctions are given by the tensor product of the individual angular momentum eigenfunctions.