ħ expansion for the periodic orbit quantization by harmonic inversion

Jörg Main, Kirsten Weibert, and Günter Wunner
Phys. Rev. E 58, 4436 – Published 1 October 1998
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Abstract

Semiclassical spectra beyond the Gutzwiller and Berry-Tabor approximation for chaotic and regular systems, respectively, are obtained by harmonic inversion of the ħ expansion of the periodic orbit signal. The method is illustrated for the circle billiard, where the semiclassical error is reduced by one to several orders of magnitude with respect to the lowest order approximation used previously.

  • Received 3 March 1998

DOI:https://doi.org/10.1103/PhysRevE.58.4436

©1998 American Physical Society

Authors & Affiliations

Jörg Main1, Kirsten Weibert1, and Günter Wunner2

  • 1Institut für Theoretische Physik I, Ruhr-Universität Bochum, D-44780 Bochum, Germany
  • 2Institut für Theoretische Physik und Synergetik, Universität Stuttgart, D-70550 Stuttgart, Germany

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Vol. 58, Iss. 4 — October 1998

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