刘健

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副教授

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学历:博士研究生毕业

办公地点:西区科技实验东楼1402

学位:博士

毕业院校:北京大学

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A lattice Maxwell system with discrete space-time symmetry and local energy- momentum conservation

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DOI码:10.1016/j.physleta.2018.12.010

发表刊物:Physics Letters A

关键字:Maxwell System, Space-time Symmetry

摘要:A lattice Maxwell system is developed with gauge-symmetry, symplectic structure and discrete space–time symmetry. Noether's theorem for Lie group symmetries is generalized to discrete group symmetries for the lattice Maxwell system. As a result, the lattice Maxwell system is shown to admit a discrete local energy–momentum conservation law corresponding to the discrete space–time symmetry. A lattice model that respects all local conservation laws and geometric structures is as good as and probably more preferable than standard models on continuous space–time. It can also be viewed as an effective algorithm for the governing differential equations on continuous space–time.

合写作者:Jianyuan Xiao,Hong Qin,Yuan Shi,Jian Liu,Ruili Zhang

论文类型:期刊论文

学科门类:理学

卷号:383

期号:9

页面范围:808-812

是否译文:

发表时间:2019-02-28

收录刊物:SCI

发布期刊链接:https://www.sciencedirect.com/science/article/pii/S0375960118312106