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arxiv: quant-ph/0408151 · v1 · submitted 2004-08-24 · 🪐 quant-ph · math-ph· math.MP· physics.atom-ph

On the q-analogue of the hydrogen atom

classification 🪐 quant-ph math-phmath.MPphysics.atom-ph
keywords atomhydrogendeformationq-analoguespectrumalternativeapplicationarising
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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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