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Problème coulombien à trois corps en mécanique quantique

Abstract : The subject of this work is the three body coulomb problem in quantum mechanics (He, H^-, H_2^+). This work is placed in the more general context of quantum chaos, so that we are mainly interested in highly doubly excited states of two electron atoms. First we show how the full quantum problem can be solved without any approximation, using all symmetries of the system (geometrical and dynamical). The efficiency of our method is emphasized by showing the perfect agreement with the most recent experimental results on photo-ionization cross-section of the helium atom. We also show that, in the case of H_2^+, our work can be a theoretical reference for future highly precise measurements of the ratio electron mass/proton mass. Then, focusing on the chaotic aspect of the two electron atoms, we show that only two periodic orbits contribute to the quantum helium atom. Finally, looking at the level dynamics, we show how the long living states of helium are constructed through avoided crossings and localized along a stable orbit.
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https://tel.archives-ouvertes.fr/tel-00011786
Contributor : Jacques Dupont-Roc <>
Submitted on : Tuesday, March 7, 2006 - 1:23:30 PM
Last modification on : Thursday, December 10, 2020 - 12:37:26 PM
Long-term archiving on: : Saturday, April 3, 2010 - 9:03:31 PM

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  • HAL Id : tel-00011786, version 1

Citation

Benoît Grémaud. Problème coulombien à trois corps en mécanique quantique. Physique Atomique [physics.atom-ph]. Université Pierre et Marie Curie - Paris VI, 1997. Français. ⟨tel-00011786⟩

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