Exclusion of intrinsically classical domains and the problem of quasiclassical emergence

Jones, K. R. W. (1994) Exclusion of intrinsically classical domains and the problem of quasiclassical emergence. Physical Review A, 50 2: 1062-1070. doi:10.1103/PhysRevA.50.1062

Attached Files (Some files may be inaccessible until you login with your UQ eSpace credentials)
Name Description MIMEType Size Downloads
UQ392457_OA.pdf Full text (open access) application/pdf 554.02KB 0

Author Jones, K. R. W.
Title Exclusion of intrinsically classical domains and the problem of quasiclassical emergence
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
2469-9926
Publication date 1994-01-01
Sub-type Article (original research)
DOI 10.1103/PhysRevA.50.1062
Open Access Status File (Publisher version)
Volume 50
Issue 2
Start page 1062
End page 1070
Total pages 9
Place of publication College Park, MD, United States
Publisher American Physical Society
Subject 3100 Physics and Astronomy
3107 Atomic and Molecular Physics, and Optics
Abstract One difficulty with the correspondence principle is its vagueness. To what should the quantum theory correspond in the quasiclassical domain? Here we show that, whatever it is, it cannot be Hamiltons equations. This is done using Weinbergs generalized nonlinear quantum theory [S. Weinberg, Ann. Phys. (N.Y.) 194, 336 (1989)] by exploiting the fact that it contains an exact copy of classical dynamics [K. R. W. Jones, Phys. Rev. D 45, R2590 (1992)]. An enlarged dynamical theory incorporating mixed quantum and classical interactions is shown to have some desirable properties in relation to measurement. By studying this system, we show that the existence of observable physical domains obeying intrinsically classical laws would violate the uncertainty principle; thereby ruling out an entire class of such larger theories. We interpret this result as a demonstration that the correspondence principle is essentially approximate. Further, the given exclusion is suggestive as a guide to physical models of quasi- classical emergence in a scenario based upon environment noise and stochastic reduction.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Mathematics and Physics
 
Versions
Version Filter Type
Citation counts: Scopus Citation Count Cited 8 times in Scopus Article | Citations
Google Scholar Search Google Scholar
Created: Tue, 28 Jun 2016, 16:33:52 EST by System User on behalf of Learning and Research Services (UQ Library)