2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/93434A generalized Hamilton-Jacobi representation describes microstates of the Schrödinger wave function for bound states. At the very points that boundary values are applied to the bound state Schrödinger wave function, the generalized Hamilton-Jacobi equation for quantum mechanics exhibits a nodal singularity. For initial value problems, the two representations are equivalent.6 pages, LaTeX 2.09Quantum Physicstext