Physics – Mathematical Physics
Scientific paper
2006-03-13
Int. J. Mod. Phys. A Vol: 21 No: 3 575-588 (2006)
Physics
Mathematical Physics
15 pages
Scientific paper
10.1142/S0217751X06028503
If a Hamiltonian dynamical system with $n$ degrees of freedom admits $m$ constants of motion more than $2n-1$, then there exist some functional relations between the constants of motion. Among these relations the number of functionally independent ones are $s=m-(2n-1)$. It is shown that for such a system in which the constants of motion constitute a polynomial algebra closing in Poisson bracket, the Nambu brackets can be written in terms of these $s$ constraint functionals. The exemplification is very rich and several of them are analyzed in the text.
No associations
LandOfFree
Nambu brackets with constraint functionals 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 Nambu brackets with constraint functionals, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nambu brackets with constraint functionals will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-69733