Frankfurt 2006 – scientific programme

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A: Atomphysik

A 10: Poster I: Wechselwirkung mit Elektronen und Ionen

A 10.20: Poster

Tuesday, March 14, 2006, 16:30–18:30, Labsaal

Chaotic scattering of electrons by Hydrogen — •I.A. Yastremsky and J.M. Rost — Max-Planck Institute for the Physics of Complex Systems, Dresden

The irregular fluctuations in cross section (Ericson fluctuations) are known to exist in many phycical systems when the mean energy spacing D between resonances becomes much less than their typical width Γ [1-3]. The theory of Ericson fluctuations has been developed for systems with short range forces [1, 3]. Here we have investigated the chaotic scattering of electron on Hydrogen (long range forces) when the total energy E is close to the double-ionization threshold semiclassically. We shall demonstrate that the semiclassical autocorrelation function c(Δ) = ⟨ S(E)^*S(E+Δ)⟩ for the S - matrix has not the standard Lorentzian shape as predicted in [1, 3] for the systems with short range forces. This behavior is due to the fact that the dynamic of H - is neither fully chaotic nor regular.
[1] T. Ericson, Annal of Physics, 23, 390-414 (1963)
[2] R. Püttner, B. Gremaud, D. Delande, M. Domke, M. Martins, A. S. Schlachter, and G. Kaindl, Phys. Rev. Lett., 86, 3747-3750 (2001)
[3] R. Blümel and U. Smilansky, Phys. Rev. Lett., 60, 477-480 (1998)