On the use of Lambert W Function for modeling of Quantum Resonances

Conference paper

On the use of Lambert W Function for modeling of Quantum Resonances

Horáček, J.; Ledvinka, T.

In: Numerical Analysis and Applied Mathematics, American Institute of Physics, pp. 1690 (2011)

Abstract

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 resticts 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.

Institute authors

Supported by

MSM0021620860 — Fyzikální studium objektů a procesů ve sluneční soustavě a v astro-fyzikálních systémech

BibTeX

@inproceedings{UTF470,
  author        = {Horáček, J. and Ledvinka, T.},
  title         = {{On the use of Lambert W Function for modeling of Quantum Resonances}},
  booktitle     = {Numerical Analysis and Applied Mathematics},
  publisher     = {American Institute of Physics},
  volume        = {1389},
  pages         = {1690},
  year          = {2011},
  doi           = {10.1063/1.3636934},
}