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

Publication at Faculty of Mathematics and Physics |
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 theWfunction 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.