Jacobi Group Symmetry of Hamilton's Mechanics

Abstract

We show that the diffeomorphisms of an extended phase space with time, energy, momentum and position degrees of freedom that leave invariant the symplectic 2-form and and a degenerate orthogonal metric dt^2 locally satisfy Hamilton's equations up to the usual canonical transformations on the position-momentum subspace.

References in corpus (3)

• Hamiltonian dynamics on the symplectic extended phase space for autonomous and non-autonomous systems
• Reciprocal relativity of noninertial frames and the quaplectic group
• Relativity group for noninertial frames in Hamilton's mechanics