Spatial localization in quantum theory based on qr-numbers | Macquarie University ResearchOnline

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Title: Spatial localization in quantum theory based on qr-numbers
Related: Foundations of physics, Vol. 40, No. 6, (2010), p.607-628
DOI: 10.1007/s10701-010-9424-4
Publisher: Springer
Date: 2010
FoR/RFCD Code(s): 020000 Physical Sciences 010000 Mathematical Sciences
Author/Creator: Corbett, John
Author/Creator: Durt, Thomas
Description: We show how trajectories can be reintroduced in quantum mechanics provided that its spatial continuum is modelled by a variable real number (qr-number) continuum. Such a continuum can be constructed using only standard Hilbert space entities. In this approach, the geometry of atoms and subatomic objects differs from that of classical objects. The systems that are non-local when measured in the classical space-time continuum may be localized in the quantum continuum. We compare trajectories in this new description of space-time with the corresponding Bohmian picture.
Description: 22 page(s)
Subject Keyword: 020000 Physical Sciences
Subject Keyword: 010000 Mathematical Sciences
Subject Keyword: quantum theory
Subject Keyword: non-standard real numbers
Subject Keyword: space-time structure
Resource Type: journal article
Organisation: Macquarie University. Dept. of Mathematics

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