High Resolution Quantum Recurrence Spectra: Beyond the Uncertainty Principle

Jörg Main, Vladimir A. Mandelshtam, and Howard S. Taylor
Phys. Rev. Lett. 78, 4351 – Published 9 June 1997
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Abstract

Highly resolved recurrence spectra are obtained by harmonic inversion of quantum spectra of classically chaotic systems and compared in detail to the results of semiclassical periodic orbit and closed orbit theory. Our analysis is sensitive to separate orbits with nearly degenerate recurrence periods and uncovers complex (“ghost”) orbits even when they are hidden behind close-by real orbits. The method is demonstrated on an example of the hydrogen atom in external magnetic and electric fields, for both the density of states and the quantum photoabsorption cross section.

  • Received 22 January 1997

DOI:https://doi.org/10.1103/PhysRevLett.78.4351

©1997 American Physical Society

Authors & Affiliations

Jörg Main1,2, Vladimir A. Mandelshtam2, and Howard S. Taylor2

  • 1Institut für Theoretische Physik I, Ruhr-Universität Bochum, D-44780 Bochum, Germany
  • 2Department of Chemistry, University of Southern California, Los Angeles, California 90089

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Vol. 78, Iss. 23 — 9 June 1997

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