# 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:

- 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}

}