Work

Determination of the Hamiltonian from the Equations of Motion with Illustration from Examples

Year: 2024

Type: article

Abstract: In this paper, we study the determination of a Hamiltonian from given equations of motion. It can be cast into a problem of matrix factorization after reinterpretation of the system as first-order evolutionary equations in the phase space coordinates. We state the criterion on the evolution matrix for a Hamiltonian to exist. In addition, the proof is constructive and an explicit Hamiltonian with accompanied symplectic structure can be obtained. As an application, we will study a few classes of dynamical systems for illustration.

Source: Progress of Theoretical and Experimental Physics

DOI: 10.1093/ptep/ptae184

Author: Chung-Ru Lee

Institution: National University of Singapore

Language: English

Topic: Control and Stability of Dynamical Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $979

OpenAlex ID: W4405230947