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On the q-analogue of the hydrogen atom

On the \(q\)-analogue of the hydrogen atom
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 21 Nov 1991Embargo end date: 01 Jan 2004 France Publisher:IOP PublishingJournal:Journal of Physics A: Mathematical and General, volume 24, pages 5,283-5,289 (issn: 0305-4470, eissn: 1361-6447, Copyright policy )
Authors: Kibler, Maurice, R.; Négadi, Tidjani;

doi: 10.1088/0305-4470/24/22/012 , 10.48550/arxiv.quant-ph/0408151

arXiv: http://arxiv.org/abs/quant-ph/0408151

On the q-analogue of the hydrogen atom

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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France
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Keywords

Quantum Physics, Dirac shift, [PHYS.PHYS.PHYS-ATOM-PH]Physics [physics]/Physics [physics]/Atomic Physics [physics.atom-ph], Applications of Lie (super)algebras to physics, etc., Atomic Physics (physics.atom-ph), [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph], FOS: Physical sciences, Mathematical Physics (math-ph), [PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph], spectrum, Physics - Atomic Physics, hydrogen atom, [PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph], \(q\)-deformations, quantum group, [PHYS.PHYS.PHYS-ATOM-PH] Physics [physics]/Physics [physics]/Atomic Physics [physics.atom-ph], Quantum Physics (quant-ph), Quantum groups and related algebraic methods applied to problems in quantum theory, [PHYS.QPHY] Physics [physics]/Quantum Physics [quant-ph], Mathematical Physics

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
47
Average
Top 10%
Top 10%
Green
bronze