Show simple item record

dc.contributor.authorPhilbin, TG
dc.date.accessioned2016-03-08T10:48:16Z
dc.date.issued2015-09-27
dc.description.abstractThe predictions of quantum mechanics are probabilistic. Quantum probabilities are extracted using a postulate of the theory called the Born rule, the status of which is central to the "measurement problem" of quantum mechanics. Efforts to justify the Born rule from other physical principles, and thus elucidate the measurement process, have involved lengthy statistical or information-theoretic arguments. Here we show that Bohm's deterministic formulation of quantum mechanics allows the Born rule for measurements on a single system to be derived, without any statistical assumptions. We solve a simple example where the creation of an ensemble of identical quantum states, together with position measurements on those states, are described by Bohm's quantum dynamics. The calculated measurement outcomes agree with the Born-rule probabilities, which are thus a consequence of deterministic evolution. Our results demonstrate that quantum probabilities can emerge from simple dynamical laws alone, and they support the view that there is no underlying indeterminism in quantum phenomena.en_GB
dc.identifier.citationVol. 1 (4), pp. 171 - 184en_GB
dc.identifier.urihttp://hdl.handle.net/10871/20597
dc.language.isoenen_GB
dc.publisherInstitute for the History of Natural Sciences, Chinese Academy of Sciencesen_GB
dc.relation.urlhttp://arxiv.org/abs/1409.7891v4en_GB
dc.relation.urlhttp://www.ijqf.org/archives/3058en_GB
dc.titleDerivation of quantum probabilities from deterministic evolutionen_GB
dc.typeArticleen_GB
dc.date.available2016-03-08T10:48:16Z
dc.descriptionThis is the author accepted manuscript. The final version is available from the Institute for the History of Natural Sciences, Chinese Academy of Sciences.en_GB
dc.identifier.journalInternational Journal of Quantum Foundationsen_GB


Files in this item

This item appears in the following Collection(s)

Show simple item record