2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152561In the analytic-Bargmann representation associated with the harmonic oscillator and spin coherent states, the wavefunction as entire complex functions can be factorized in terms of their zeros in a unique way. The Schrödinger equation of motion for the wavefunction is turned to a system of equations for its zeros. The motion of these zeros as a non-linear flow of points is studied and interpreted for linear and non-linear bosonic and spin Hamiltonians. Attention is given to the study of the zeros of the Jaynes-Cummings model and to its finite analoque. Numerical solutions are derived and discussed.19 pages plus 3 figures available upon request, plain LATEX, FTUV/93-13High Energy Physics - TheoryChaotic DynamicsCondensed Mattertext