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dc.contributor.authorJ.W. Hall, Michaelen_US
dc.date.accessioned2017-04-24T13:44:46Z
dc.date.available2017-04-24T13:44:46Z
dc.date.issued2008en_US
dc.date.modified2012-07-27T03:10:57Z
dc.identifier.issn17518113en_US
dc.identifier.doi10.1088/1751-8113/41/25/255301en_US
dc.identifier.urihttp://hdl.handle.net/10072/42710
dc.description.abstractIt is shown that a canonical time observable may be defined for any quantum system having a discrete set of energy eigenvalues, thus significantly generalizing the known case of time observables for periodic quantum systems (such as the harmonic oscillator). The general case requires the introduction of almost-periodic probability operator measures (POMs), which allow the expectation value of any almost-periodic function to be calculated. An entropic uncertainty relation for energy and time is obtained which generalizes the known uncertainty relation for periodic quantum systems. While non-periodic quantum systems with discrete energy spectra, such as hydrogen atoms, typically make poor clocks that yield no more than 1 bit of time information, the anisotropic oscillator provides an interesting exception. More generally, a canonically conjugate observable may be defined for any Hermitian operator having a discrete spectrum.en_US
dc.description.peerreviewedYesen_US
dc.description.publicationstatusYesen_US
dc.format.extent167637 bytes
dc.format.mimetypeapplication/pdf
dc.languageEnglishen_US
dc.language.isoen_US
dc.publisherInstitute of Physics Publishing Ltd.en_US
dc.publisher.placeUnited Kingdomen_US
dc.relation.ispartofstudentpublicationNen_US
dc.relation.ispartofpagefrom255301-1en_US
dc.relation.ispartofpageto255301-14en_US
dc.relation.ispartofissue25en_US
dc.relation.ispartofjournalJournal of Physics Aen_US
dc.relation.ispartofvolume41en_US
dc.rights.retentionYen_US
dc.subject.fieldofresearchQuantum Information, Computation and Communicationen_US
dc.subject.fieldofresearchQuantum Physics not elsewhere classifieden_US
dc.subject.fieldofresearchAlgebraic Structures in Mathematical Physicsen_US
dc.subject.fieldofresearchcode020603en_US
dc.subject.fieldofresearchcode020699en_US
dc.subject.fieldofresearchcode010501en_US
dc.titleAlmost-periodic time observables for bound quantum systemsen_US
dc.typeJournal articleen_US
dc.type.descriptionC1 - Peer Reviewed (HERDC)en_US
dc.type.codeC - Journal Articlesen_US
gro.rights.copyrightCopyright 2008 Institute of Physics Publishing. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher.Please refer to the journal's website for access to the definitive, published version.en_US
gro.date.issued2008
gro.hasfulltextFull Text


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