Semiclassical quantization by harmonic inversion: Comparison of algorithms
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.
- Publication:
-
Physical Review E
- Pub Date:
- November 2001
- DOI:
- arXiv:
- arXiv:nlin/0104064
- Bibcode:
- 2001PhRvE..64e6705B
- Keywords:
-
- 02.70.-c;
- 05.45.-a;
- 03.65.Sq;
- Computational techniques;
- simulations;
- Nonlinear dynamics and chaos;
- Semiclassical theories and applications;
- Nonlinear Sciences - Chaotic Dynamics
- E-Print:
- 6 pages, 4 figures, REVTEX, revised paper accepted for publication in Phys. Rev. E