The discrete variational principle in Hamiltonian formalism and first integrals
Zhang Hong-Bin (张宏彬)ab, Chen Li-Qun (陈立群)b, Liu Rong-Wan (刘荣万)b
a Department of Physics, Chaohu College, Chaohu 238000, China；b Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
Abstract The aim of this paper is to show that first integrals of discrete equation of motion for Hamiltonian systems can be determined explicitly by investigating the invariance properties of the discrete Lagrangian in phase space. The result obtained is a discrete analog of the theorem of Noether in the Calculus of variations.
Received: 16 December 2004
Revised: 01 March 2005
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No.10172056) and the Science Research of the Education Bureau of Anhui Province (Grant No.2004KJ294)
Cite this article:
Zhang Hong-Bin (张宏彬), Chen Li-Qun (陈立群), Liu Rong-Wan (刘荣万) The discrete variational principle in Hamiltonian formalism and first integrals 2005 Chinese Physics 14 1063
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