On Quantum Groups and Their Potential Use in Mathematical Chemistry

Details On Quantum Groups and Their Potential Use in Mathematical Chemistry On Quantum Groups and Their Potential Use in Mathematical Chemistry

1999-11-19

arxiv.org/abs/physics/9911047v1

Published in J. Math. Chem. 11 (1992) 13-25

Physics

Chemical Physics

16 pages, Tex file. Paper written from a lecture presented (by M.K.) at the ``IV International Conference on Mathematical and

Scientific paper

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 $q$-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.

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