10 citations · 13 across the 4 of their papers we have counts for
4 papers
Chaotic Spectra of Classically Integrable Systems
P. Crehan
We prove that any spectral sequence obeying a certain growth law is the quantum spectrum of an equivalence class of classically integrable non-linear oscillators. This implies that…
Geometry of Deformed Boson Algebras
P. Crehan, T. G. Ho
Phase-space realisations of an infinite parameter family of quantum deformations of the boson algebra in which the -- and the --deformed algebras arise as special cases are…
When are vector fields Hamiltonian?
P. Crehan
Dynamical systems can be quantised only if they are Hamiltonian. This prompts the question from which our talk gets its title. We show how the simple predator-prey equation and the…
On the local Hamiltonian structure of vector fields
P. Crehan
We derive a canonical form for smooth vector fields on . We use this to demonstrate the local multi-Hamiltonian nature of the corresponding flows. Associated with the ca…