2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/120406We prove a modified version of Turbiner's conjecture in three dimensions and we give a counter-example to the original conjecture. The Lie algebraic Schrödinger operators corresponding to flat metrics of a certain restricted type are shown to separate partially in either Cartesian, cylindrical or spherical coordinates.29 pages, 8 figuresDifferential Geometry81Q70, 22E70, 53C80, 53C12text