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Journal of Mathematical Chemistry 11 (1992) 13-25
On quantum groups and their potential use in mathematical chemistry
M. Kibler1, T. Negadi1

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.
1 :  IPNL - Institut de Physique Nucléaire de Lyon

Physique/Physique mathématique
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