On Quantum Groups and Their Potential Use in Mathematical Chemistry
Chemical Physics
2007-05-23 v1 Mathematical Physics
math.MP
Quantum Physics
Abstract
The quantum algebra suq(2) is introduced as a deformation of the ordinary Lie algebra su(2). This is achieved in a simple way by making use of -bosons. In connection with the quantum algebra suq(2), we discuss the q-analogues of the harmonic oscillator and the angular momentum. We also introduce q-analogues of the hydrogen atom by means of a q-deformation of the Pauli equations and of the so-called Kustaanheimo-Stiefel transformation.
Cite
@article{arxiv.physics/9911047,
title = {On Quantum Groups and Their Potential Use in Mathematical Chemistry},
author = {Maurice Kibler and Tidjani Négadi},
journal= {arXiv preprint arXiv:physics/9911047},
year = {2007}
}
Comments
16 pages, Tex file. Paper written from a lecture presented (by M.K.) at the ``IV International Conference on Mathematical and Computational Chemistry'', Bled (Yugoslavia), 3 - 7 June 1991