The authors construct positive definite Hamiltonian formulations of the Pais-Uhlenbeck oscillator that preserve its dynamics by combining its two Hamiltonian structures, and they classify transformations that map it to two-dimensional first-order systems.
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Lie symmetries and ghost-free representations of the Pais-Uhlenbeck model
The authors construct positive definite Hamiltonian formulations of the Pais-Uhlenbeck oscillator that preserve its dynamics by combining its two Hamiltonian structures, and they classify transformations that map it to two-dimensional first-order systems.