Published August 18, 2003
| Version v1
Journal article
A new quantization map
Creators
Description
In this Letter we find a simple rule to reproduce the algebra of quantum observables using only the commutators and operators which appear in the Koopman-von Neumann (KvN) formulation of classical mechanics. The usual Hilbert space of quantum mechanics becomes embedded in the KvN Hilbert space: in particular it turns out to be the subspace on which the quantum positions Q and momenta P act irreducibly
Additional details
Identifiers
- DOI
- 10.1016/S0375-9601(03)00996-4;
- arXiv
- arXiv:quant-ph/0305063v1;
- PII
- S0375960103009964;
Publishing Information
- Journal Title
- Physics Letters. A
- Journal Volume
- 315
- Journal Issue
- 1-2
- Journal Page Range
- p. 28-35
- ISSN
- 0375-9601
- CODEN
- PYLAAG
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36086506
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGEBRA; CLASSICAL MECHANICS; COMMUTATORS; HILBERT SPACE; MAPS; QUANTIZATION; QUANTUM MECHANICS
- Descriptors DEC
- BANACH SPACE; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MATHEMATICS; MECHANICS; QUANTUM OPERATORS; SPACE
Optional Information
- Copyright
- Copyright (c) 2003 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.