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Hilbert Space
Quantum Mechanics
Quantum Theory
Spatial Locality
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Spatial Localization in Quantum Theory Based on qrnumbers
Spatial Localization in Quantum Theory Based on qrnumbers,10.1007/s1070101094244,Foundations of Physics,John Corbett,Thomas Durt
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Spatial Localization in Quantum Theory Based on qrnumbers
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John Corbett
,
Thomas Durt
We show how trajectories can be reintroduced in
quantum mechanics
provided that its spatial continuum is modelled by a variable real number (qrnumber) 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 nonlocal when measured in the classical spacetime continuum may be localized in the quantum continuum. We compare trajectories in this new description of spacetime with the corresponding Bohmian picture.
Journal:
Foundations of Physics  FOUND PHYS
, vol. 40, no. 6, pp. 607628, 2010
DOI:
10.1007/s1070101094244
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