Published May 1989
| Version v1
Journal article
Algebraic quantization
Creators
- 1. Lyon-1 Univ., 69 - Villeurbanne (France). Inst. de Mathematiques et d'Informatique
Description
The different correspondences (or orderings) used in quantum mechanics and the associated deformations, are both seen from an algebraic viewpoint. The deformations which are compatible with the diagonal map (the ''Δ0-deformations'') are introduced and connected to the formal groups. A very straightforward example of a Δ0-deformation (the ''multiplicative deformation'') appears in the normal quantization of the harmonic oscillator. (orig.)
Additional details
Publishing Information
- Journal Title
- Letters in Mathematical Physics
- Journal Volume
- 17
- Journal Issue
- 4
- Series
- Lett. Math. Phys.
- Journal Page Range
- 275-283
- ISSN
- 0377-9017
- CODEN
- LMPHD
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- Netherlands
- INIS RN
- 20057812
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGEBRA; DEFORMATION; GRADED LIE GROUPS; HARMONIC OSCILLATORS; QUANTIZATION; QUANTUM MECHANICS
- Descriptors DEC
- LIE GROUPS; MATHEMATICS; MECHANICS; SYMMETRY GROUPS