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Title: Can the Quantum Measurement Problem be Resolved within the Framework of Schroedinger Dynamics and Quantum Probability?

Abstract

We provide an affirmative answer to the question posed in the title. Our argument is based on a treatment of the Schroedinger dynamics of the composite, S{sub c}, of a quantum microsystem, S, and a macroscopic measuring apparatus, J, consisting of N interacting particles. The pointer positions of this apparatus are represented by subspaces of its representative Hilbert space that are simultaneous eigenspaces of coarse-grained intercommuting macroscopic observables. By taking explicit account of their macroscopicality, we prove that, for suitably designed apparatus J, the evolution of the composite S{sub c} leads both to the reduction of the wave-packet of S and to a one-to-one correspondence between the resultant state of this microsystem and the pointer position of J, up to utterly neglible corrections that decrease exponentially with N.

Authors:
 [1]
  1. Department of Physics, Queen Mary, University of London, Mile End Road, London E1 4NS (United Kingdom)
Publication Date:
OSTI Identifier:
21039497
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 962; Journal Issue: 1; Conference: QTRF4: 4. conference on quantum theory: Reconsideration of foundations - 4, Vaexjoe (Sweden), 11-16 Jun 2007; Other Information: DOI: 10.1063/1.2827306; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CORRECTIONS; EVOLUTION; HILBERT SPACE; PROBABILITY; QUANTUM MECHANICS; SCHROEDINGER EQUATION; WAVE PACKETS

Citation Formats

Sewell, Geoffrey. Can the Quantum Measurement Problem be Resolved within the Framework of Schroedinger Dynamics and Quantum Probability?. United States: N. p., 2007. Web. doi:10.1063/1.2827306.
Sewell, Geoffrey. Can the Quantum Measurement Problem be Resolved within the Framework of Schroedinger Dynamics and Quantum Probability?. United States. doi:10.1063/1.2827306.
Sewell, Geoffrey. Mon . "Can the Quantum Measurement Problem be Resolved within the Framework of Schroedinger Dynamics and Quantum Probability?". United States. doi:10.1063/1.2827306.
@article{osti_21039497,
title = {Can the Quantum Measurement Problem be Resolved within the Framework of Schroedinger Dynamics and Quantum Probability?},
author = {Sewell, Geoffrey},
abstractNote = {We provide an affirmative answer to the question posed in the title. Our argument is based on a treatment of the Schroedinger dynamics of the composite, S{sub c}, of a quantum microsystem, S, and a macroscopic measuring apparatus, J, consisting of N interacting particles. The pointer positions of this apparatus are represented by subspaces of its representative Hilbert space that are simultaneous eigenspaces of coarse-grained intercommuting macroscopic observables. By taking explicit account of their macroscopicality, we prove that, for suitably designed apparatus J, the evolution of the composite S{sub c} leads both to the reduction of the wave-packet of S and to a one-to-one correspondence between the resultant state of this microsystem and the pointer position of J, up to utterly neglible corrections that decrease exponentially with N.},
doi = {10.1063/1.2827306},
journal = {AIP Conference Proceedings},
number = 1,
volume = 962,
place = {United States},
year = {Mon Dec 03 00:00:00 EST 2007},
month = {Mon Dec 03 00:00:00 EST 2007}
}
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