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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access July 17, 2012

C1 non-integrability of a hydrogen atom in a circularly polarized microwave field

Juan Guirao, Miguel López and Juan Vera
From the journal Open Physics


Barrabés et al. [Physica D, 241(4), 333–349, 2012] consider the problem of the hydrogen atom interacting with a circularly polarized microwave field modeled as a planar perturbed Kepler problem. For different values of the parameter, the authors offer some numerical evidence of the non-integrability of this problem. The objective of the present work is to give an analytical proof of the C1 non-integrability of this problem for any value of the parameter using the averaging theory as a main tool.

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Published Online: 2012-7-17
Published in Print: 2012-8-1

© 2012 Versita Warsaw

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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