Coping with the Pais-Uhlenbeck oscillator's ghosts in a canonical approach

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dc.creatorDéctor, Aldo
dc.creatorMorales-Técotl, Hugo A.
dc.creatorUrrutia, Luis F.
dc.creatorVergara, J. David
dc.date2008-07-09
dc.date.accessioned2026-07-07T09:52:47Z
dc.date.available2026-07-07T09:52:47Z
dc.descriptionA {\em complex} canonical transformation is found that takes the fourth order derivative Pais-Uhlenbeck oscillator into two independent harmonic oscillators thus showing that this model has energy bounded from below, unitary time-evolution and no negative norm states, or ghosts. Such transformation yields a positive definite inner product consistent with reality conditions in the Hilbert space. The method is illustrated by eliminating the negative norm states in a complex oscillator. Extensions to other higher order mechanical models and field theory are discussed.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/0807.1520
dc.identifierhttp://arxiv.org/abs/0807.1520
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165720
dc.subjectQuantum Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleCoping with the Pais-Uhlenbeck oscillator's ghosts in a canonical approach
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