Published June 10, 2005
| Version v1
Journal article
The Weyl bundle as a differentiable manifold
Creators
- 1. Institute of Physics, Technical University of Lodz, ul. Wolczanska 219, 93-005 Lodz (Poland)
Description
The construction of an infinite-dimensional differentiable manifold R∞ not modelled on any Banach space is proposed. Definition, metric and differential structures of a Weyl algebra (P*pM[[ℎ]], o) and a Weyl algebra bundle (P*M[[ℎ]], o) are presented. Continuity of the o-product in the Tichonov topology is proved. Construction of the *-product of the Fedosov type in terms of theory of connection in a fibre bundle is explained
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/38/5193/a5_23_008.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/38/5193/a5_23_008.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/38/23/008;
- PII
- S0305-4470(05)94264-9;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 38
- Journal Issue
- 23
- Journal Page Range
- p. 5193-5216
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36095892
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGEBRA; BANACH SPACE; DIFFERENTIAL CALCULUS; MANY-DIMENSIONAL CALCULATIONS; MATHEMATICAL MANIFOLDS; RIEMANN SPACE; TOPOLOGY; WEYL UNIFIED THEORY
- Descriptors DEC
- FIELD THEORIES; MATHEMATICAL SPACE; MATHEMATICS; SPACE; UNIFIED-FIELD THEORIES