On quantum groups and their potential use in mathematical chemistry - IN2P3 - Institut national de physique nucléaire et de physique des particules
Article Dans Une Revue Journal of Mathematical Chemistry Année : 1992

On quantum groups and their potential use in mathematical chemistry

Résumé

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.

Dates et versions

in2p3-00003103 , version 1 (22-11-2006)

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Citer

M. Kibler, T. Negadi. On quantum groups and their potential use in mathematical chemistry. Journal of Mathematical Chemistry, 1992, 11, pp.13-25. ⟨in2p3-00003103⟩
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