On the Use of Lambert W Function for Modeling of Quantum Resonances

被引：1
作者：
Horacek, Jiri [1 ]
Ledvinka, Tomas [1 ]
机构：
[1] Charles Univ Prague, Fac Math & Phys, CR-18000 Prague 8, Czech Republic
来源：
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS A-C | 2011年 / 1389卷
关键词：
Pade approximation; analytic continuation; resonances; Lambert W function; ANALYTICAL CONTINUATION; COUPLING-CONSTANT; SCATTERING DATA;
D O I：
10.1063/1.3636934
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Lambert W function is used to represent data (bound state energies) for the process of analytical continuation in the coupling constant. It is shown how the presence of the singularity of the W function restricts the accuracy of determination of the branch point. The accuracy of the determination of resonance parameters is also discussed. It is shown that even for moderately accurate input data the process of analytical continuation yields resonance parameters of accuracy surpassing modern experimental data.
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页数：4
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