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

Publication date: Available online 5 December 2018Source: Physics Letters AAuthor(s): Jianyuan Xiao, Hong Qin, Yuan Shi, Jian Liu, Ruili ZhangAbstractA 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.

Source: Physics Letters A - December 6, 2018 Category: Physics Source Type: research