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07-01-2020 | Original Paper | Issue 4/2020

Computation of energy eigenvalues of the anharmonic Coulombic potential with irregular singularities

Journal:: Numerical Algorithms > Issue 4/2020

Authors:: M. Essaouini, B. Abouzaid, P. Gaudreau, H. Safouhi

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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 clearly illustrate the efficiency and accuracy of the proposed method. The codes are written in Julia and are available on github at https://github.com/pjgaudre/DESincEig.jl.

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Title: Computation of energy eigenvalues of the anharmonic Coulombic potential with irregular singularities
Authors:: M. Essaouini
B. Abouzaid
P. Gaudreau
H. Safouhi
Publication date: 07-01-2020
DOI: https://doi.org/10.1007/s11075-019-00853-0
Publisher: Springer US
Journal: Numerical Algorithms
Issue 4/2020
Print ISSN: 1017-1398
Electronic ISSN: 1572-9265

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