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Complex su_q(2) Dynamical Symmetry, Limiting Cases and 1-Dimensional Potential Realisation

A. Ludu·W. Scheid
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Abstract

Using a complex deformation q=exp(is) of su(2) we obtain extensions of the finite-dimensional representations towards the infinite-dimensional ones. A generalised q-deformation of su(2), as a Hopf algebra is introduced. We present the corresponding Schrodinger picture, by using a differential realisation, and a large class of potentials is obtained.A connection between the unirreps with q a root of unity and the comensurability of the potentials is investigated. The smooth transition between su(2) and su(1,1) , through E(1) is obtained at different levels: of the unirreps, of the topology, of the commutators and of the potentials in the corresponding Schrodinger equation.

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BibTeXRIS

A. Ludu, W. Scheid. 1996-12-04. Complex su_q(2) Dynamical Symmetry, Limiting Cases and 1-Dimensional Potential Realisation. https://arxiv.org/abs/q-alg/9612007

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