Sturmian eigenvalue equations with a Chebyshev polynomial basis
From authors' summary: A Chebyshev polynomial basis is proposed for the solution of Sturmian eigenvalue equations of the form \(Av=f\) which are encountered in quantum scattering theory. A is a non-self-adjoint second order differential operator and the solution is regular at the origin and has an outgoing wave condition asymptotically. Detailed computation of eigenvalues and eigenfunctions for five cases including analytical and physically realistic examples confirms the inherent polynomial stability of the method characteristic of the minimax norm.
non-self-adjoint second order differential operator
scientific article; zbMATH DE number 3900082