2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/53872We present a classical integrable model of $SU(N)$ isospin defined on complex projective phase space in the external magnetic field and solve it exactly by constructing the action-angle variables for the system. We quantize the system using the coherent state path integral method and obtain an exact expression for quantum mechanical propagator by solving the time-dependent Schrödinger equations.11 pages, REVTEX 3.0, SNUTP-93-47High Energy Physics - Theorytext