On Quantum Groups and Their Potential Use in Mathematical Chemistry
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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.
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
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