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

• DOI: 10.48550/arxiv.1803.11150
• Publication Date: 2018-01-01
• Authors: M. Essaouini; Bouchra Abouzaid; Philippe Gaudreau; Hassan Safouhi
• Keywords: 0103 physical sciences; FOS: Mathematics; 65L10, 65L20; Mathematics - Numerical Analysis; Numerical Analysis (math.NA); 01 natural sciences

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