A path integral leading to higher-order Lagrangians
We consider a simple modification of standard phase-space path integrals and show that it leads in configuration space to Lagrangians depending also on accelerations.
hep-th↗
arXiv subjects
Ciprian Sorin Acatrinei
Publications and source records attributed to Ciprian Sorin Acatrinei.
Dimensional Reduction for Generalized Poisson Brackets
We discuss dimensional reduction for Hamiltonian systems which possess nonconstant Poisson brackets between pairs of coordinates and between pairs of momenta. The associated Jacobi identities imply that the dimensionally reduced brackets are always constant. Some examples are given alongside the general theory.
math-ph↗