185 citations · 3.5k across the 160 of their papers we have counts for
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Superintegrability of a resonant ghostly tri-Hamiltonian model: polynomial first integrals and transcendental completion
Andreas Fring, Ian Marquette
We study classical and quantum superintegrability of a resonant three-dimensional Hamiltonian with indefinite kinetic energy and three Poisson descriptions of the same flow. Beside…
Three-dimensional ghost-free representations of the Pais-Uhlenbeck model from Tri-Hamiltonians
Alexander Felski, Andreas Fring, Bethan Turner
We present a detailed analysis of the sixth-order Pais-Uhlenbeck oscillator and construct three-dimensional ghost-free representations through a Tri-Hamiltonian framework. We ident…
A Calogero Model with root string representatives of infinite order Coxeter orbits
Andreas Fring
We present a worked example for the new extensions of the multi-particle Calogero model endowed with infinite Weyl group symmetry of affine and hyperbolic type. Building upon the h…
Lie symmetries and ghost-free representations of the Pais-Uhlenbeck model
Alexander Felski, Andreas Fring, Bethan Turner
We investigate the Pais-Uhlenbeck (PU) model, a paradigmatic example of a higher time-derivative theory, by identifying the Lie symmetries of its associated fourth-order dynamical…
Infinite affine, hyperbolic and Lorentzian Weyl groups with their associated Calogero models
Francisco Correa, Andreas Fring, Octavio Quintana
We propose generalizations of Calogero models that exhibit invariance with respect to the infinite Weyl groups of affine, hyperbolic, and Lorentzian types. Our approach involves de…
Nonlocal gauge equivalence: Hirota versus extended continuous Heisenberg and Landau-Lifschitz equation
Julia Cen, Francisco Correa, Andreas Fring
We exploit the gauge equivalence between the Hirota equation and the extended continuous Heisenberg equation to investigate how nonlocality properties of one system are inherited b…