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  1. 1 Guirao J.

  2. 1 López M.

  3. 1 Vera J.

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

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Guirao J., López M., Vera J.
Open Physics
|
2012
|
vol. 10
|
issue 4
742-748
EN
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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