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On the q-analogue of the hydrogen atom

Maurice Robert Kibler·Tidjani Negadi
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Abstract

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.

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Maurice Robert Kibler, Tidjani Negadi. 2004-08-24. On the q-analogue of the hydrogen atom. https://arxiv.org/abs/quant-ph/0408151

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