On the Computation of Eigenvalues of the Anharmonic Coulombic Potential

被引:5
|
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
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
收藏
页码:477 / 492
页数:16
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