On the q-analogue of the hydrogen atom
Quantum Physics
2007-05-23 v1 Mathematical Physics
math.MP
Atomic Physics
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.
Cite
@article{arxiv.quant-ph/0408151,
title = {On the q-analogue of the hydrogen atom},
author = {Maurice Robert Kibler and Tidjani Negadi},
journal= {arXiv preprint arXiv:quant-ph/0408151},
year = {2007}
}