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The driven three body Coulomb problem

Published online by Cambridge University Press:  01 April 2007

JAVIER MADROÑERO ,
LAURENT HILICO ,
BENOÎT GRÉMAUD ,
DOMINIQUE DELANDE  and
ANDREAS BUCHLEITNER
JAVIER MADROÑERO
Affiliation:
Physik Department, Technische Universität München, James-Franck-Straβe, D-85747 Garching Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Str. 38, D-01187 Dresden
LAURENT HILICO
Affiliation:
Laboratoire Kastler Brossel de l'Université Pierre et Marie Curie et de l'Ecole Normale Supérieure, 4, place Jussieu, F-75252 Paris Cedex 05
BENOÎT GRÉMAUD
Affiliation:
Laboratoire Kastler Brossel de l'Université Pierre et Marie Curie et de l'Ecole Normale Supérieure, 4, place Jussieu, F-75252 Paris Cedex 05
DOMINIQUE DELANDE
Affiliation:
Laboratoire Kastler Brossel de l'Université Pierre et Marie Curie et de l'Ecole Normale Supérieure, 4, place Jussieu, F-75252 Paris Cedex 05
ANDREAS BUCHLEITNER
Affiliation:
Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Str. 38, D-01187 Dresden Instytut Fizyki imienia Mariana Smoluchowskiego, Uniwersytet Jagielloński, Reymonta 4, PL-30-059 Kraków
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Extract

The three body Coulomb problem is one of the oldest unsolved problems of theoretical physics, and holds a variety of puzzling problems, on both the classical and quantum levels. It is of paradigmatic importance since it bears dynamical and spectral features that establish a link between single and many-particle dynamics, with the absolute minimum of ingredients. When additionally exposed to a time-periodic external perturbation, the effective dimension of the classical phase space as well as of Hilbert space increases dramatically. This gives rise to new phenomena, which stimulate research in such remote areas as mathematical physics, semiclassics and intense-field laser–matter interactions. In the present review, we illustrate how these different areas are interconnected by three interacting particles.

Type
Paper
Information
Mathematical Structures in Computer Science , Volume 17 , Issue 2 , April 2007 , pp. 225 - 246
Copyright
Copyright © Cambridge University Press 2007

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