Transmutations, L-bases and complete families of solutions of the stationary Schrödinger equation in the plane

Hugo M. Campos, Vladislav V. Kravchenko, Sergii M. Torba

An L-basis associated to a linear second-order ordinary differential operator L is an infinite sequence of functions {ϕ_k}_{k=0}^{\infty} such that Lϕ_k=0 for k=0,1, Lϕ_k=k(k-1)ϕ_{…