DOI number: 10.1016/j.physleta.2018.12.010

Journal: Physics Letters A

Key Words: Maxwell System, Space-time Symmetry

Abstract: 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.

Co-author: Jianyuan Xiao,Hong Qin,Yuan Shi,Jian Liu,Ruili Zhang

Indexed by: Journal paper

Discipline: Natural Science

Volume: 383

Issue: 9

Page Number: 808-812

Translation or Not: no

Date of Publication: 2019-02-28

Included Journals: SCI

Links to published journals: https://www.sciencedirect.com/science/article/pii/S0375960118312106