On the variational noncommutative poisson geometry
Journal Article
·
· Physics of Particles and Nuclei
We outline the notions and concepts of the calculus of variational multivectors within the Poisson formalism over the spaces of infinite jets of mappings from commutative (non)graded smooth manifolds to the factors of noncommutative associative algebras over the equivalence under cyclic permutations of the letters in the associative words. We state the basic properties of the variational Schouten bracket and derive an interesting criterion for (non)commutative differential operators to be Hamiltonian (and thus determine the (non)commutative Poisson structures). We place the noncommutative jet-bundle construction at hand in the context of the quantum string theory.
- OSTI ID:
- 22977151
- Journal Information:
- Physics of Particles and Nuclei, Journal Name: Physics of Particles and Nuclei Journal Issue: 5 Vol. 43; ISSN 1063-7796
- Country of Publication:
- United States
- Language:
- English
Similar Records
The noncommutative Poisson bracket and the deformation of the family algebras
Quantum mechanics with coordinate dependent noncommutativity
From Noncommutative Phase Space to Hilbert Space
Journal Article
·
Wed Jul 15 00:00:00 EDT 2015
· Journal of Mathematical Physics
·
OSTI ID:22479575
Quantum mechanics with coordinate dependent noncommutativity
Journal Article
·
Thu Nov 14 23:00:00 EST 2013
· Journal of Mathematical Physics
·
OSTI ID:22217846
From Noncommutative Phase Space to Hilbert Space
Journal Article
·
Wed Oct 03 00:00:00 EDT 2007
· AIP Conference Proceedings
·
OSTI ID:21035978