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Spectral characterization of hydrogen-like atoms confined by oscillating systems

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Iacob F.

Open Physics

2014

vol. 12

issue 9

628-636

The spectral characterization of Coulomb systems confined by a homogeneous pseudo-Gaussian oscillator is investigated. This is done using the efficient computational method of generating functionals. Also, this method is used for the spectral characterization of homogeneous harmonic oscillator confinement, treated as a particular case of pseudo-Gaussian oscillator confinement. Finally, confinement by an impenetrable sphere of finite radius is considered by studying its conjugate effect along with a harmonic oscillator.

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

100%

Guirao J., López M., Vera J.

Open Physics

2012

vol. 10

issue 4

742-748

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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2 Open Physics

1 2014

1 2012

1 Guirao J.

1 Iacob F.

1 López M.

1 Vera J.

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Spectral characterization of hydrogen-like atoms confined by oscillating systems

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