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Semiclassical Quantization by Harmonic Inversion: Comparison of Algorithms

Chaotic Dynamics 2009-11-07 v2

Abstract

Harmonic inversion techniques have been shown to be a powerful tool for the semiclassical quantization and analysis of quantum spectra of both classically integrable and chaotic dynamical systems. Various computational procedures have been proposed for this purpose. Our aim is to find out which method is numerically most efficient. To this end, we summarize and discuss the different techniques and compare their accuracies by way of two example systems.

Keywords

Cite

@article{arxiv.nlin/0104064,
  title  = {Semiclassical Quantization by Harmonic Inversion: Comparison of Algorithms},
  author = {T. Bartsch and J. Main and G. Wunner},
  journal= {arXiv preprint arXiv:nlin/0104064},
  year   = {2009}
}

Comments

6 pages, 4 figures, REVTEX, revised paper accepted for publication in Phys. Rev. E