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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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

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spelling	doaj-b07eba0c9991448d88b28192764ed0a62020-11-24T22:36:06ZengElsevierNuclear Physics B0550-32131873-15622016-01-01902C9511410.1016/j.nuclphysb.2015.11.011An alternative Hamiltonian formulation for the Pais–Uhlenbeck oscillatorIvan MasterovOstrogradsky'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 [7] is used to construct an alternative Hamiltonian formulation for the multidimensional Pais–Uhlenbeck oscillator of arbitrary even order with distinct frequencies of oscillation. This construction is also generalized to the case of an N=2 supersymmetric Pais–Uhlenbeck oscillator.http://www.sciencedirect.com/science/article/pii/S0550321315003867
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Ivan Masterov
spellingShingle	Ivan Masterov An alternative Hamiltonian formulation for the Pais–Uhlenbeck oscillator Nuclear Physics B
author_facet	Ivan Masterov
author_sort	Ivan Masterov
title	An alternative Hamiltonian formulation for the Pais–Uhlenbeck oscillator
title_short	An alternative Hamiltonian formulation for the Pais–Uhlenbeck oscillator
title_full	An alternative Hamiltonian formulation for the Pais–Uhlenbeck oscillator
title_fullStr	An alternative Hamiltonian formulation for the Pais–Uhlenbeck oscillator
title_full_unstemmed	An alternative Hamiltonian formulation for the Pais–Uhlenbeck oscillator
title_sort	alternative hamiltonian formulation for the pais–uhlenbeck oscillator
publisher	Elsevier
series	Nuclear Physics B
issn	0550-3213 1873-1562
publishDate	2016-01-01
description	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 [7] is used to construct an alternative Hamiltonian formulation for the multidimensional Pais–Uhlenbeck oscillator of arbitrary even order with distinct frequencies of oscillation. This construction is also generalized to the case of an N=2 supersymmetric Pais–Uhlenbeck oscillator.
url	http://www.sciencedirect.com/science/article/pii/S0550321315003867
work_keys_str_mv	AT ivanmasterov analternativehamiltonianformulationforthepaisuhlenbeckoscillator AT ivanmasterov alternativehamiltonianformulationforthepaisuhlenbeckoscillator
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An alternative Hamiltonian formulation for the Pais–Uhlenbeck oscillator

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