2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/184744The confluent algorithm, a degenerate case of the second order supersymmetric quantum mechanics, is studied. It is shown that the transformation function must asymptotically vanish to induce non-singular final potentials. The technique can be used to create a single level above the initial ground state energy. The method is applied to the free particle, one-soliton well and harmonic oscillator.9 pages, latex, 2 postscript figuresQuantum PhysicsHigh Energy Physics - TheoryMathematical Physicstext