Published February 7, 2003
| Version v1
Journal article
Separability preserving Dirac reductions of Poisson pencils on Riemannian manifolds
Creators
- 1. Institute of Physics, A Mickiewicz University, Umultowska 85, 61-614 Poznan (Poland)
- 2. Department of Science and Technology, Campus Norrkoeping, Linkoeping University, 601-74 Norrkoeping (Sweden)
Description
Dirac deformation of Poisson operators of arbitrary rank is considered. The question when Dirac reduction does not destroy linear Poisson pencils is studied. A class of separability preserving Dirac reductions in the corresponding quasi-bi-Hamiltonian systems of Benenti type is discussed. Two examples of such reductions are given
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/36/1337/a30511.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/0305-4470/36/1337/a30511.pdf; http://www.iop.org/;
- PII
- S0305-4470(03)54229-9;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 36
- Journal Issue
- 5
- Journal Page Range
- p. 1337-1356
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 34020222
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- DIRAC EQUATION; HAMILTONIANS; MATHEMATICAL MANIFOLDS; POISSON EQUATION; RIEMANN SPACE
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD EQUATIONS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS; SPACE; WAVE EQUATIONS