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quant-ph2026
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…
quant-ph2026
Spectrum-generating algebra and intertwiners of the resonant Pais-Uhlenbeck oscillator
Andreas Fring, Ian Marquette, Takano Taira
We study the quantum Pais-Uhlenbeck oscillator at the resonant (equal-frequency) point, where the dynamics becomes non-diagonalisable and the conventional Fock-space construction c…