A symplectic, symmetric algorithm for spatial evolution of particles in a time-dependent field

TL;DR

This paper introduces a symplectic, symmetric second-order numerical scheme for simulating particle motion in a one-dimensional, time-dependent field, demonstrating high accuracy and suitability for experimental analysis.

Contribution

The paper presents a novel symplectic, symmetric, second-order algorithm specifically designed for particle evolution in time-dependent fields with fixed spatial steps.

Findings

The scheme is implemented successfully in one dimension.

It shows excellent agreement with experimental data.

The method maintains symplectic structure for accurate long-term simulation.

Abstract

A symplectic, symmetric, second-order scheme is constructed for particle evolution in a time-dependent field with a fixed spatial step. The scheme is implemented in one space dimension and tested, showing excellent adequacy to experiment analysis.