Two-forms and Noncommutative Hamiltonian dynamics

Details Two-forms and Noncommutative Hamiltonian dynamics Two-forms and Noncommutative Hamiltonian dynamics

2001-01-16

arxiv.org/abs/math/0101132v1

Mathematics

Quantum Algebra

10 pages LaTeX

Scientific paper

In this paper we extend the standard differential geometric theory of Hamiltonian dynamics to noncommutative spaces, beginning with symplectic forms. Derivations on the algebra are used instead of vector fields, and interior products and Lie derivatives with respect to derivations are discussed. Then the Poisson bracket of certain algebra elements can be defined by a choice of closed 2-form. Examples are given using the noncommutative torus, the Cuntz algebra, the algebra of matrices, and the algebra of matrix valued functions on $\Bbb R^2$.

Affiliated with

Also associated with

No associations

Rating

Two-forms and Noncommutative Hamiltonian dynamics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Two-forms and Noncommutative Hamiltonian dynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Two-forms and Noncommutative Hamiltonian dynamics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-426842