Algebraic decay of the survival probability in chaotic helium

Peter Schlagheck and Andreas Buchleitner
Phys. Rev. A 63, 024701 – Published 11 January 2001
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Abstract

We demonstrate that the classical helium atom exhibits algebraic decay of the survival probability in the autoionizing eZe configuration. Excitation towards asymptotic orbits of marginal stability is identified as the cause of the nonexponential decay. Since one electron travels along a bound Kepler trajectory of infinite excitation in these orbits, we argue that the classical decay law will prevail in the quantum dynamics of a wave packet launched along the eZe configuration.

  • Received 22 November 1999

DOI:https://doi.org/10.1103/PhysRevA.63.024701

©2001 American Physical Society

Authors & Affiliations

Peter Schlagheck1 and Andreas Buchleitner2,3

  • 1Laboratoire de Physique Théorique et Modèles Statistiques, Bâtiment 100, F-91405 Orsay Cedex, France
  • 2Max-Planck-Institut für Physik Komplexer Systeme, Nöthnitzer Strasse 38, D-01187 Dresden, Germany
  • 3Department of Physics of Complex Systems, The Weizmann Institute of Science, Il-76100 Rehovot, Israel

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Vol. 63, Iss. 2 — February 2001

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