Energy Spectrum of a Two-Parameter Deformed Hydrogen Atom

Anjana Sinha

Jaroslav Zamastil, Jakub Benda

YANG QING-ZHU, Xu Bo-wei, (1)上海交通大学物理系; (2)上海师范大学物理系

The SOq(4) quantum algebra is used for the description of a q-deformed 3-dimensional hydrogen atom. The energy spectrum and degenercy of the q-deformed 3-dimension and 2-dimensional hydrogen atom are obtained respectively.

Andrés Felipe Ortiz, Snehanshu Saha

M. M. Stetsko, V. M. Tkachuk

We studied energy spectrum for the hydrogen atom with deformed Heisenberg algebra leading to the minimal length. We developed the correct perturbation theory free of divergences. It gives a possibility to calculate analytically in the three-dimensional case the corrections to $s$ levels of the hydrogen atom caused by the minimal length. Comparing our results with the experimental data from precision hydrogen spectroscopy an upper bound for the minimal length is obtained.

M. Kibler, Tidjani Négadi

The discrete spectrum of a q-analogue of the hydrogen atom is obtained from a deformation of the Pauli equations. As an alternative, the spectrum is derived from a deformation of the four-dimensional oscillator arising in the application of the Kustaanheimo-Stiefel transformation to the hydrogen atom. A model of the 2s-2p Dirac shift is proposed in the context of q-deformations.