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dc.contributor.authorGambetta, Jayen_US
dc.contributor.authorWiseman, Howarden_US
dc.date.accessioned2017-04-24T08:47:40Z
dc.date.available2017-04-24T08:47:40Z
dc.date.issued2004en_US
dc.date.modified2010-08-06T07:22:57Z
dc.identifier.issn00159018en_US
dc.identifier.doi10.1023/B:FOOP.0000019622.81881.f8en_AU
dc.identifier.urihttp://hdl.handle.net/10072/5730
dc.description.abstractThe modal interpretation of quantum mechanics allows one to keep the standard classical definition of realism intact. That is, variables have a definite status for all time and a measurement only tells us which value it had. However, at present modal dynamics are only applicable to situations that are described in the orthodox theory by projective measures. In this paper we extend modal dynamics to include positive operator measures (POMs). That is, for example, rather than using a complete set of orthogonal projectors, we can use an overcomplete set of nonorthogonal projectors. We derive the conditions under which Bell's stochastic modal dynamics for projective measures reduce to deterministic dynamics, showing (incidentally) that Brown and Hiley's generalization of Bohmian mechanics [quant-ph/0005026, (2000)] cannot be thus derived. We then show how deterministic dynamics for positive operators can also be derived. As a simple case, we consider a Harmonic oscillator, and the overcomplete set of coherent state projectors (i.e., the Husimi POM). We show that the modal dynamics for this POM in the classical limit correspond to the classical dynamics, even for the nonclassical number state |n>. This is in contrast to the Bohmian dynamics, which for energy eigenstates, the dynamics are always non-classical.en_US
dc.description.peerreviewedYesen_US
dc.description.publicationstatusYesen_AU
dc.format.extent178847 bytes
dc.format.mimetypeapplication/pdf
dc.languageEnglishen_US
dc.language.isoen_AU
dc.publisherPlenum Publishing Corporationen_US
dc.publisher.placeNew Yorken_US
dc.relation.ispartofpagefrom419en_US
dc.relation.ispartofpageto448en_US
dc.relation.ispartofjournalFoundations of Physicsen_US
dc.relation.ispartofvolume34en_US
dc.subject.fieldofresearchcode240402en_US
dc.titleModal Dynamics for Positive Operator Measuresen_US
dc.typeJournal articleen_US
dc.type.descriptionC1 - Peer Reviewed (HERDC)en_US
dc.type.codeC - Journal Articlesen_US
gro.rights.copyrightCopyright 2004 Springer-Verlag. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher.The original publication is available at www.springerlink.comen_AU
gro.date.issued2004
gro.hasfulltextFull Text


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