Perturbation to Lie Symmetry and Generalized Hojman Adiabatic Invariants for Relativistic Hamilton System |
| |
Authors: | ZHANG Xiao-Ni FANG Jian-Hui LIN Peng PANG Ting |
| |
Institution: | College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China |
| |
Abstract: | Based on the concept of higher-order adiabatic invariants of
mechanical system with action of a small perturbation, the perturbation
to Lie symmetry and generalized Hojman adiabatic invariants for the relativistic
Hamilton system are studied. Perturbation to Lie symmetry is discussed under general
infinitesimal transformation of groups in which time is variable. The form and the
criterion of generalized Hojman adiabatic invariants for this system are obtained.
Finally, an example is given to illustrate the results. |
| |
Keywords: | relativistic Hamilton system Lie symmetry generalized Hojman adiabatic invariant |
本文献已被 维普 等数据库收录! |
| 点击此处可从《理论物理通讯》浏览原始摘要信息 |
| 点击此处可从《理论物理通讯》下载免费的PDF全文 |