New classes of potentials for which the radial Schrödinger equation can be solved at zero energy
New classes of potentials for which the radial Schrödinger equation can be solved at zero energy
Given two spherically symmetric and short range potentials $V_0$ and V_1 for which the radial Schrodinger equation can be solved explicitely at zero energy, we show how to construct a new potential $V$ for which the radial equation can again be solved explicitely at zero energy. The new potential and …