9 citations · 18 across the 8 of their papers we have counts for
8 papers
Bi-Hamiltonian Structures and Equivalent Representations of the Pais-Uhlenbeck Model
Bethan Turner
We provide a complete classification of all the ways the Pais-Uhlenbeck osicllator might be embedded in two dimensional space. We discuss the Bi-Hamiltonian structures of this mode…
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…
Ghost-Free Quantisation of Higher Time-Derivative Theories via Non-Unitary Similarity Transformations
Andreas Fring, Takano Taira, Bethan Turner
We address the long-standing ``ghost problem" in higher time-derivative theories (HTDTs), where quantisation typically yields sectors with either unbounded spectra or non-normalisa…
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…
Quantisations of exactly solvable ghostly models
Andreas Fring, Takano Taira, Bethan Turner
We investigate an exactly solvable two-dimensional Lorentzian coupled quantum system that in a certain parameter regime can be transformed to a higher time derivative theory (HTDT)…
Higher Time Derivative Theories From Integrable Models
Bethan Turner
Higher Time Derivative Theories are generated by considering space-time rotated KdV and mKdV systems. These systems are then studied to see if/how instabilities, usually associated…
Nonlinear evolution of disturbances in higher time-derivative theories
Andreas Fring, Takano Taira, Bethan Turner
We investigate the evolution of localized initial value profiles when propagated in integrable versions of higher time-derivative theories. In contrast to the standard cases in non…
Higher time-derivative theories from space-time interchanged integrable field theories
Andreas Fring, Takano Taira, Bethan Turner
We compare a relativistic and a nonrelativistic version of Ostrogradsky's method for higher-time derivative theories extended to scalar field theories and consider as an alternativ…