Publication:
Imaginary-scaling versus indefinite-metric quantization of the Pais-Uhlenbeck oscillator

dc.contributor.departmentDepartment of Mathematics
dc.contributor.departmentDepartment of Physics
dc.contributor.kuauthorMostafazadeh, Ali
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.date.accessioned2024-11-09T11:47:42Z
dc.date.issued2011
dc.description.abstractUsing the Pais-Uhlenbeck oscillator as a toy model, we outline a consistent alternative to the indefinite-metric quantization scheme that does not violate unitarity. We describe the basic mathematical structure of this method by giving an explicit construction of the Hilbert space of state vectors and the corresponding creation and annihilation operators. The latter satisfy the usual bosonic commutation relation and differ from those of the indefinite-metric theories by a sign in the definition of the creation operator. This change of sign achieves a definitization of the indefinite metric that gives life to the ghost states without changing their contribution to the energy spectrum.
dc.description.fulltextYES
dc.description.indexedbyWOS
dc.description.indexedbyScopus
dc.description.issue10
dc.description.openaccessYES
dc.description.publisherscopeInternational
dc.description.sponsoredbyTubitakEuN/A
dc.description.sponsorshipTurkish Academy of Sciences (TÜBA)
dc.description.versionPublisher version
dc.description.volume84
dc.identifier.doi10.1103/PhysRevD.84.105018
dc.identifier.eissn2470-0029
dc.identifier.embargoNO
dc.identifier.filenameinventorynoIR00771
dc.identifier.issn1550-7998
dc.identifier.quartileN/A
dc.identifier.scopus2-s2.0-82955175511
dc.identifier.urihttps://doi.org/10.1103/PhysRevD.84.105018
dc.identifier.wos297126500006
dc.keywordsQuantum-gravity
dc.keywordsFormulation
dc.keywordsHermiticity
dc.keywordsSymmetry
dc.language.isoeng
dc.publisherAmerican Physical Society (APS)
dc.relation.ispartofPhysical Review D
dc.relation.urihttp://cdm21054.contentdm.oclc.org/cdm/ref/collection/IR/id/760
dc.subjectPhysics
dc.subjectAstronomy and astrophysics
dc.titleImaginary-scaling versus indefinite-metric quantization of the Pais-Uhlenbeck oscillator
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.kuauthorMostafazadeh, Ali
local.publication.orgunit1College of Sciences
local.publication.orgunit2Department of Physics
local.publication.orgunit2Department of Mathematics
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