Published April 4, 2003
| Version v1
Journal article
Galilean Duffin-Kemmer-Petiau algebra and symplectic structure
Creators
- 1. Instituto de Fisica, Universidade de Brasilia 70910-900, Brasilia, DF (Brazil)
- 2. Instituto de Fisica, Universidade Federal da Bahia, Campus de Ondina, 40210-340, Salvador, Bahia (Brazil)
Description
We develop the Duffin-Kemmer-Petiau (DKP) approach in the phase-space picture of quantum mechanics by considering DKP algebras in a Galilean covariant context. Specifically, we develop an algebraic calculus based on a tensor algebra defined on a five-dimensional space which plays the role of spacetime background of the non-relativistic DKP equation. The Liouville operator is determined and the Liouville-von Neumann equation is written in two situations: the free particle and a particle in an external electromagnetic field. A comparison between the non-relativistic and the relativistic cases is commented
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/36/3841/a31315.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/0305-4470/36/3841/a31315.pdf; http://www.iop.org/;
- PII
- S0305-4470(03)38757-8;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 36
- Journal Issue
- 13
- Journal Page Range
- p. 3841-3854
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 34042187
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGEBRA; ELECTROMAGNETIC FIELDS; LIOUVILLE THEOREM; MANY-DIMENSIONAL CALCULATIONS; PHASE SPACE; QUANTUM MECHANICS; RELATIVISTIC RANGE; SP GROUPS; SPACE-TIME; TENSORS; TOPOLOGY
- Descriptors DEC
- ENERGY RANGE; LIE GROUPS; MATHEMATICAL SPACE; MATHEMATICS; MECHANICS; SPACE; SYMMETRY GROUPS