XXXV Workshop on Geometric Methods in Physics 26.06-2.07.2016

Marián Fecko

On symmetries and conserved quantities in Nambu mechanics

In Hamiltonian mechanics, a (continuous) symmetry leads to conserved quantity, which is a function on (extended) phase space.
In Nambu mechanics, a straightforward consequence of symmetry is just a relative integral invariant, a differential form which only upon integration over a cycle provides a conserved real number. The origin of the difference may be traced back to a shift in degrees of relevant forms present in equations of motion, or, alternatively, to a corresponding shift in degrees of relevant objects in action integral for Nambu mechanics.

Event sponsored by:
National Science Foundation          Belgian Science Policy Office          University of Bialystok

Webpage by: Tomasz GolinskiTomasz Golinski