An alternative Hamiltonian formulation for the Pais–Uhlenbeck oscillator

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...

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Bibliographic Details
Main Author: Ivan Masterov
Format: Article
Language:English
Published: Elsevier 2016-01-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321315003867