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2015

An alternative Hamiltonian formulation for the Pais-Uhlenbeck oscillator

Masterov, Ivan

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Ostrogradsky's method allows one to construct Hamiltonian formulation for a higher derivative system.

An application of this approach to the Pais-Uhlenbeck oscillator yields the Hamiltonian which is unbounded from below.
This leads to the ghost problem in quantum theory.
In order to avoid this nasty feature, the technique previously developed in [Acta Phys.

An alternative Hamiltonian formulation for the Pais-Uhlenbeck oscillator · Around

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