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math-ph2026
The dynamical algebra of the generic superintegrable model on the two-sphere
Nicolas Crampé, Quentin Labriet, Lucia Morey +3
The rank two Jacobi algebra is identified as the dynamical algebra of the generic quadratic superintegrable model on the two-sphere. The physical representation of…
math-ph2025
Inhomogeneous SSH models and the doubling of orthogonal polynomials
Nicolas Crampé, Quentin Labriet, Lucia Morey +2
We analyze Su-Schrieffer-Heeger (SSH) models using the doubling method for orthogonal polynomial sequences. This approach yields the analytical spectrum and exact eigenstates of th…
math-ph2025
Algebras behind the bispectrality of the Wilson rational functions and their limits
Nicolas Crampe, Satoshi Tsujimoto, Luc Vinet +1
The properties of the Wilson rational functions with three different normalizations are described. For one normalization, it satisfies an recurrence relation,…