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

Journal Article · Wed Sep 14 00:00:00 EDT 2011 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3636934· OSTI ID:21611602

Horacek, Jiri; Ledvinka, Tomas ^[1]

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1. Faculty of Mathematics and Physics, Charles University in Prague, V Holesovickach 2, 180 00 Praha 8 (Czech Republic)

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.

• OSTI ID: 21611602
• Journal Information: AIP Conference Proceedings, Vol. 1389, Issue 1; Conference: ICNAAM 2011: Conference on numerical analysis and applied mathematics, Halkidiki (Greece), 19-25 Sep 2011; Other Information: DOI: 10.1063/1.3636934; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ACCURACY
BOUND STATE
COUPLING CONSTANTS
FUNCTIONS
GEOMETRY
QUANTUM COMPUTERS
QUANTUM MECHANICS
RESONANCE
SINGULARITY
COMPUTERS
MATHEMATICS
MECHANICS