Manifest symplecticity in classical scattering
Abstract
A bstract The Liouville theorem states that classical time evolution is an incompressible flow in phase space. We investigate two formulations of classical mechanics in which this property is manifested. First, the traditional Hamilton-Jacobi theory provides an in-out formalism. Second, a recent idea employing an exponential representation of time evolution provides an in-in formalism. Through explicit examples, it is demonstrated that the on-shell action in the former and the exponential generator in the latter are disparate objects. Still, a concrete relation between the two is identified in terms of a matching calculation. A strictly classical derivation and formulation of classical scattering theory is provided.
Fields of Study & Subjects
Quantum chaos and dynamical systems
Numerical methods for differential equations
Nonlinear Waves and Solitons
Publication details
- Journal / source
- Journal of High Energy Physics
- Publisher
- Springer Science and Business Media LLC
- Volume
- 2026
- Issue
- 5
- Publication date
- 26 May 2026
- Language
- EN