Correlated observables in single-particle systems and field theoretic interpretations

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dc.creatorDurham, Ian T.
dc.date2005-11-06
dc.date2005-11-25
dc.date.accessioned2026-07-07T06:52:40Z
dc.date.available2026-07-07T06:52:40Z
dc.descriptionBell-type experiments that test correlated observables typically involve measurements of spin or polarization on multi-particle systems in singlet states. These observables are all non-commuting and satisfy an uncertainty relation. Theoretically, the non-commuting nature should be independent of whether the singlet state consists of multiple particles or a single particle. Recent experiments in single neutron interferometry have in fact demonstrated this. In addition, if Bell-type inequalities can be found for experiments involving spin and polarization, the same should be true for experiments involving other non-commuting observables such as position and momentum as in the original EPR paper. As such, an experiment is proposed to measure (quantum mechanically) position and momentum for a single oscillator as a means for deriving a Bell-type inequality for these correlated observables. The experiment, if realizable, would shed light on the basic nature of matter, perhaps pointing to some form of self-entanglement, and would also help to further elucidate a possible mechanism behind the Heisenberg uncertainty principle. Violation of these inequalities would, in fact, offer yet another confirmation of the principle.
dc.description5 pages; references added for section 1; discussion of field theory expanded slightly
dc.identifierhttps://arxiv.org/abs/quant-ph/0511048
dc.identifierhttp://arxiv.org/abs/quant-ph/0511048
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105373
dc.subjectQuantum Physics
dc.titleCorrelated observables in single-particle systems and field theoretic interpretations
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