259 citations · 3.2k across the 85 of their papers we have counts for
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Coloured Hopf algebras and their duals
C. Quesne
Coloured Hopf algebras, related to the coloured Yang-Baxter equation, are reviewed, as well as their duals. The special case of coloured quantum universal enveloping algebras provi…
Generalized Morse Potential: Symmetry and Satellite Potentials
A. Del Sol Mesa, C. Quesne, Yu. F. Smirnov
We study in detail the bound state spectrum of the generalized Morse potential~(GMP), which was proposed by Deng and Fan as a potential function for diatomic molecules. By connecti…
Coloured Hopf algebras
C. Quesne
Some new algebraic structures related to the coloured Yang-Baxter equation, and termed coloured Hopf algebras, are reviewed. Coloured quantum universal enveloping algebras of Lie a…
Coloured Hopf algebras
C. Quesne
Quite recently, a ``coloured'' extension of the Yang-Baxter equation has appeared in the literature and various solutions of it have been proposed. In the present contribution, we…
Representation Theory of Generalized Deformed Oscillator Algebras
C. Quesne, N. Vansteenkiste
The representation theory of the generalized deformed oscillator algebras (GDOA's) is developed. GDOA's are generated by the four operators . Their commutators and Her…