中国物理B ›› 2011, Vol. 20 ›› Issue (3): 34502-034502.doi: 10.1088/1674-1056/20/3/034502
• CLASSICAL AREAS OF PHENOMENOLOGY • 上一篇 下一篇
张毅
Zhang Yi(张毅)†
摘要: This paper focuses on a new symmetry of Hamiltonian and its conserved quantity for a system of generalized classical mechanics. The differential equations of motion of the system are established. The definition and the criterion of the symmetry of Hamiltonian of the system are given. A conserved quantity directly derived from the symmetry of Hamiltonian of the generalized classical mechanical system is given. Since a Hamilton system is a special case of the generalized classical mechanics, the results above are equally applicable to the Hamilton system. The results of the paper are the generalization of a theorem known for the existing nonsingular equivalent Lagrangian. Finally, two examples are given to illustrate the application of the results.
中图分类号: (Lagrangian and Hamiltonian mechanics)