- Series
- CDSNS Colloquium
- Time
- Friday, November 3, 2023 - 3:30pm for 1 hour (actually 50 minutes)
- Location
- Skiles 249
- Speaker
- Cristel Chandre – Georgia Tech – chandre@gatech.edu – https://sites.google.com/view/cchandre
- Organizer
- Keagan Callis
In 1973, Nambu published an article entitled "Generalized Hamiltonian dynamics". For that purpose, he constructed multilinear brackets - equivalent to Poisson brackets - with some interesting properties reminiscent of the Jacobi identity.
These brackets found some applications in fluid mechanics, plasma physics and mathematical physics with superintegrable systems.
In this seminar, I will recall some basic elements on Nambu mechanics in finite dimension with an n-linear Nambu bracket in dimension larger than n. I will discuss all possible Nambu brackets and compare them with all possible Poisson brackets. I will conclude that Nambu mechanics can hardly be considered a generalization of Hamiltonian mechanics.