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Phys. Rev. E 64, 056705 (2001) [6 pages]

Semiclassical quantization by harmonic inversion: Comparison of algorithms

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Thomas Bartsch, Jörg Main, and Günter Wunner
Institut für Theoretische Physik 1, Universität Stuttgart, D-70550 Stuttgart, Germany

Received 20 April 2001; published 24 October 2001

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.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.64.056705
DOI:
10.1103/PhysRevE.64.056705
PACS:
02.70.-c, 05.45.-a, 03.65.Sq