Computation of Energy Eigenvalues of the Anharmonic Coulombic Potential with Irregular Singularities

Abstract

The present contribution concerns the computation of energy eigenvalues of a perturbed anharmonic coulombic potential with irregular singularities using a combination of the Sinc collocation method and the double exponential transformation. This method provides a highly efficient and accurate algorithm to compute the energy eigenvalues of one-dimensional time-independent Schrödinger equation. The numerical results obtained illustrate clearly the highly efficiency and accuracy of the proposed method. All our codes are written in Julia and are available on github at \url{https://github.com/pjgaudre/DESincEig.jl}.

18 pages, 24 figures. arXiv admin note: text overlap with arXiv:quant-ph/9902081 by other authors