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首页> 外文期刊>Journal of Computational Physics >Canonical symplectic structure and structure-preserving geometric algorithms for Schr?dinger–Maxwell systems
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Canonical symplectic structure and structure-preserving geometric algorithms for Schr?dinger–Maxwell systems

机译：SCINGER-MAXWELL系统的规范辛结构和结构保留的几何算法

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摘要

Abstract An infinite dimensional canonical symplectic structure and structure-preserving geometric algorithms are developed for the photon–matter interactions described by the Schr?dinger–Maxwell equations. The algorithms preserve the symplectic structure of the system and the unitary nature of the wavefunctions, and bound the energy error of the simulation for all time-steps. This new numerical capability enables us to carry out first-principle based simulation study of important photon–matter interactions, such as the high harmonic generation and stabilization of ionization, with long-term accuracy and fidelity. ]]>
机译：<！[cdata [ Abstract 为SCHR？Dinger-Maxwell方程描述的光子 - 物质相互作用开发了无限尺寸规范的辛结构和结构保留的几何算法。 该算法保留了系统的辛结构和波力事件的整体性质，并对所有时间步长结合了模拟的能量误差。 这种新的数值能力使我们能够执行重要的光子 - 物质相互作用的第一原理仿真研究，例如高谐波产生和电离稳定，具有长期精度和保真度。 < / ce：抽象-sec> ]]>

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  • 来源
    《Journal of Computational Physics》 |2017年第2017期|共12页
  • 作者

    Qiang Chen; Hong Qin; Jian Liu; Jianyuan Xiao; Ruili Zhang; Yang He; Yulei Wang;

  • 作者单位

    School of Nuclear Science and Technology Department of Modern Physics University of Science and Technology of China;

    School of Nuclear Science and Technology Department of Modern Physics University of Science and Technology of China;

    School of Nuclear Science and Technology Department of Modern Physics University of Science and Technology of China;

    School of Nuclear Science and Technology Department of Modern Physics University of Science and Technology of China;

    School of Nuclear Science and Technology Department of Modern Physics University of Science and Technology of China;

    School of Mathematics and Physics University of Science and Technology Beijing;

    School of Nuclear Science and Technology Department of Modern Physics University of Science and Technology of China;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 数学物理方法;
  • 关键词

    Schr?dinger–Maxwell equations; Symplectic structure; Discrete Poisson bracket; Geometric algorithms; First-principle simulation;

    机译：SCHR？Dinger-Maxwell方程;辛结构;离散泊松支架;几何算法;第一原理模拟;

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