On the Computation of Eigenvalues of the Anharmonic Coulombic Potential

被引：4

作者：

Cassidy, Tyler ^{[1
]}

Gaudreau, Philippe ^{[1
]}

Safouhi, Hassan ^{[1
]}

机构：

[1] Univ Alberta, Math Sect, Campus St Jean,8406,91 St, Edmonton, AB T6C 4G9, Canada

来源：

JOURNAL OF MATHEMATICAL CHEMISTRY | 2018年 / 56卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Coulombic anharmonic potentials; Schrodinger equation; Sinc collocation method; Double exponential transformation; SINC-COLLOCATION METHOD; DOUBLE-EXPONENTIAL TRANSFORMATION; BOUNDARY-VALUE-PROBLEMS; SCHRODINGER-EQUATION; GALERKIN METHOD; NUMERICAL-METHODS; OSCILLATOR;

D O I：

10.1007/s10910-017-0801-5

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

In this work, we propose a method combining the Sinc collocation method with the double exponential transformation for computing the eigenvalues of the anharmonic Coulombic potential. We introduce a scaling factor that improves the convergence speed and the stability of the method. Further, we apply this method to Coulombic potentials leading to a highly efficient and accurate computation of the eigenvalues.

引用

页码：477 / 492

页数：16

共 50 条

[1] On the Computation of Eigenvalues of the Anharmonic Coulombic Potential
Tyler Cassidy
Philippe Gaudreau
Hassan Safouhi
[J]. Journal of Mathematical Chemistry, 2018, 56 : 477 - 492
[2] Comment on: "On the computation of eigenvalues of the anharmonic Coulombic potential"
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[J]. JOURNAL OF MATHEMATICAL CHEMISTRY, 2019, 57 (04) : 1181 - 1190
[3] Comment on: “On the computation of eigenvalues of the anharmonic Coulombic potential”
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