Noncommutative differential calculus on discrete Abelian groups and its applications

被引：0
|
作者：
Guo, HY
Wu, K
Zhang, W
机构：
[1] Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China
[2] Inst Appl Phys & Computat Math, Lab Computat Phys, Beijing 100088, Peoples R China
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2000年 / 34卷 / 02期
关键词：
noncommutative geometry; symplectic geometry; Hamiltonian system; lattice gauge theory;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A new noncommutative differential calculus on function space of discrete Abelian groups is proposed. The derivatives are introduced with respect to the generators of the groups only. It is applied to discrete symplectic geometry and Hamiltonian systems with H(p, q) = T(p) + V(q) as well as the lattice gauge theory on regular lattice.
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页码：245 / 250
页数：6
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