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4 papers · 2 filters
Models of Quadratic Algebras Generated by Superintegrable Systems in 2D
Sarah Post
In this paper, we consider operator realizations of quadratic algebras generated by second-order superintegrable systems in 2D. At least one such realization is given for each set…
Soliton surfaces associated with generalize symmetries of integrable equations
A. M. Grundland, S. Post
In this paper, based on the Fokas, Gel'fand et al approach [15,16], we provide a symmetry characterization of continuous deformations of soliton surfaces immersed in a Lie algebra…
Generalized Heisenberg Algebras, SUSYQM and Degeneracies: Infinite Well and Morse Potential
Véronique Hussin, Ian Marquette
We consider classical and quantum one and two-dimensional systems with ladder operators that satisfy generalized Heisenberg algebras. In the classical case, this construction is re…
The Jordan Structure of Two Dimensional Loop Models
Alexi Morin-Duchesne, Yvan Saint-Aubin
We show how to use the link representation of the transfer matrix of loop models on the lattice to calculate partition functions, at criticality, of the Fortuin-Kasteleyn mod…