6533b82bfe1ef96bd128e14e

RESEARCH PRODUCT

Classical Chern–Simons Mechanics

Martin ReuterWalter Dittrich

subject

PhysicsPoisson bracketIntegrable systemPhase spaceLocal coordinatesChern–Simons theoryGauge theoryMathematical physicsHamiltonian systemSymplectic geometry

description

We are interested in a completely integrable Hamiltonian system \((\mathscr{M}_{2N},\omega,H).\) Local coordinates on the 2N-dimensional phase space \(\mathscr{M}_{2N}\) are denoted by η a = (p, q), a = 1, 2, … 2N and the symplectic 2-form ω is given by

https://doi.org/10.1007/978-3-319-58298-6_28