Envelope Hamiltonian for Charged-Particle Dynamics in General Linear Coupled Systems

TL;DR

This paper introduces an envelope Hamiltonian that models the dynamics of charged particles in complex linear coupled systems, providing a new theoretical framework for understanding such interactions.

Contribution

The paper presents a novel envelope Hamiltonian formulation for charged-particle dynamics in general linear coupled lattices, expanding existing theoretical tools.

Findings

Derived a new envelope Hamiltonian for coupled systems

Provides insights into particle behavior in complex lattices

Lays groundwork for future analytical and simulation studies

Abstract

We report the discovery of an envelope Hamiltonian describing the charged-particle dynamics in general linear coupled lattices.