Covariant and dynamical reduction for principal bundle field theories
✍ Scribed by Marco Castrillón López; Jerrold E. Marsden
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 318 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0232-704X
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📜 SIMILAR VOLUMES
The process of the reduction of a principal fibre bundle P(M, G) to a reduced subbundle Q(M,/-/) is analysed in view of applications to the description of symmetries of gauge theories. The main idea is to relate symmetries of the nonuniqueness of the reduction by gauging the different ways in which
Given a Hamiltonian system on a fiber bundle, the Poisson covariant formulation of the Hamilton equations is described. When the fiber bundle is a G-principal bundle and the Hamiltonian density is G-invariant, the reduction of this formulation is studied thus obtaining the analog of the Lie-Poisson
## Abstract To demonstrate its applicability for realistic open systems, we apply the dynamic mean field quantum dissipative theory to simulate the photo‐induced excitation and nonradiative decay of an embedded butadiene molecule. The Markovian approximation is adopted to further reduce the computa