You need JavaScript to view this

Observation and superselection in quantum mechanics

Technical Report:

Abstract

We attempt to clarify the main conceptual issues in approaches to `objectification` or `measurement` in quantum mechanics which are based on superselection rules. Such approaches venture to derive the emergence of classical `reality` relative to a class of observers; those believing that the classical world exists intrinsically and absolutely are advised against reading this paper. The prototype approach (Hepp) where superselection sectors are assumed in the state space of the apparatus is shown to be untenable. Instead, one should couple system and apparatus to an environment, and postulate superselection rules for the latter. These are motivated by the locality of any observer or other (actual or virtual) monitoring system. In this way `environmental` solutions to the measurement problem (Zeh, Zurek) become consistent and acceptable, too. Points of contact with the modal interpretation are briefly discussed. We propose a minimal value attribution to observables in theories with superselection rules, in which only central observables have properties. In particular, the eigenvalue link is dropped. This is mainly motivated by Ockham`s razor. (orig.)
Authors:
Landsman, N P [1] 
  1. Hamburg Univ. (Germany). 2. Inst. fuer Theoretische Physik
Publication Date:
Aug 01, 1994
Product Type:
Technical Report
Report Number:
DESY-94-141
Reference Number:
SCA: 661100; PA: DEN-94:0FM222; EDB-95:017579; SN: 95001304994
Resource Relation:
Other Information: PBD: Aug 1994
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; QUANTUM MECHANICS; MEASURING METHODS; EIGENVALUES; SUPERSELECTION RULES; HILBERT SPACE; COUPLING; LOCALITY; EIGENSTATES; QUANTUM OPERATORS; 661100; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10105107
Research Organizations:
Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
Country of Origin:
Germany
Language:
English
Other Identifying Numbers:
Journal ID: ISSN 0418-9833; Other: ON: DE95725662; TRN: DE94FM222
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
DEN
Size:
40 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Landsman, N P. Observation and superselection in quantum mechanics. Germany: N. p., 1994. Web.
Landsman, N P. Observation and superselection in quantum mechanics. Germany.
Landsman, N P. 1994. "Observation and superselection in quantum mechanics." Germany.
@misc{etde_10105107,
title = {Observation and superselection in quantum mechanics}
author = {Landsman, N P}
abstractNote = {We attempt to clarify the main conceptual issues in approaches to `objectification` or `measurement` in quantum mechanics which are based on superselection rules. Such approaches venture to derive the emergence of classical `reality` relative to a class of observers; those believing that the classical world exists intrinsically and absolutely are advised against reading this paper. The prototype approach (Hepp) where superselection sectors are assumed in the state space of the apparatus is shown to be untenable. Instead, one should couple system and apparatus to an environment, and postulate superselection rules for the latter. These are motivated by the locality of any observer or other (actual or virtual) monitoring system. In this way `environmental` solutions to the measurement problem (Zeh, Zurek) become consistent and acceptable, too. Points of contact with the modal interpretation are briefly discussed. We propose a minimal value attribution to observables in theories with superselection rules, in which only central observables have properties. In particular, the eigenvalue link is dropped. This is mainly motivated by Ockham`s razor. (orig.)}
place = {Germany}
year = {1994}
month = {Aug}
}