The Hurwitz-Hopf Map and Harmonic Wave Functions for Integer and Half-Integer Angular Momentum

Sergio A. Hojman, Eduardo Nahmad-Achar, Adolfo Sánchez-Valenzuela

Harmonic wave functions for integer and half-integer angular momentum are given in terms of the Euler angles $(\theta ,\varphi ,\psi )$ that define a rotation in $SO(3)$, and the Euclidean norm in…