185 citations · 3.5k across the 160 of their papers we have counts for
162 papers
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…
Integrable curl-force Hamiltonians: bi-Hamiltonian structure, separability, and periodic orbits
Alexander Felski, Andreas Fring
We investigate Hamiltonian curl-force systems with indefinite kinetic energy. We first reconsider Berry's polynomial Hamiltonian curl-force model, whose numerically observed closed…
Driving collective RPA modes by a time-dependent Dyson map
Andreas Fring, Marta Reboiro
We study a time-dependent non-Hermitian generalisation of the Schütte-Da~Providência model describing a bosonic mode coupled to collective particle-hole excitations. Using a time-d…
Hidden symmetry and Jordan chains in a resonant ghostly three-dimensional model
Andreas Fring, Ian Marquette
We investigate a three-dimensional ghostly Hamiltonian realisation of the fully degenerate resonant sixth-order Pais-Uhlenbeck oscillator. On the classical level, the phase-space f…
Bounded Dyson maps and cavity-driven transitions in a time-dependent non-Hermitian spin-boson model
Andreas Fring, Marta Reboiro
We study a time-dependent non-Hermitian extension of the Schütte-Da Providência spin-boson Hamiltonian with complex couplings. A time-dependent Dyson map relates the model to a Her…
Quantum-classical diagnostics and Bohmian inequivalence for higher time-derivative Hamiltonians
Sanjib Dey, Andreas Fring
We develop a Bohmian analysis of a two-dimensional ghost Hamiltonian and its mapping to the degenerate Pais-Uhlenbeck model. Using Gaussian wavepackets, we derive the corresponding…