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

被引：0
|
作者：
M. Essaouini
B. Abouzaid
P. Gaudreau
H. Safouhi
机构：
[1] Chouaib Doukkali University,Department of Mathematics, Faculty of Sciences
[2] Laboratoire des Sciences de L’ingénieur pour L’énergie,École Nationale des Sciences Appliquées
[3] Université Mohamed V,LabMIA
[4] University of Alberta,SI, Faculté des Sciences
来源：
Numerical Algorithms | 2020年 / 84卷
关键词：
Schrödinger equation; Anharmonic potentials; Inverse power potentials; Sinc collocation method; Double exponential transformation;
D O I：
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中图分类号：
学科分类号：
摘要：
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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页码：1397 / 1409
页数：12
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