Perturbation to Lie Symmetry and Generalized Hojman Adiabatic Invariants for Relativistic Hamilton System

ZHANG Xiao-Ni,FANG Jian-Hui,LIN Peng,PANG Ting

理论物理通讯 ›› 2008, Vol. 49 ›› Issue (04) : 855-858.

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会计学季刊
Quarterly Journal of Accounting
主办单位:
香港中文大学会计学院
上海财经大学会计学院
南京大学商学院会计学系
ISSN: 3006-1415
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理论物理通讯 ›› 2008, Vol. 49 ›› Issue (04) : 855-858.

Perturbation to Lie Symmetry and Generalized Hojman Adiabatic Invariants for Relativistic Hamilton System

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Perturbation to Lie Symmetry and Generalized Hojman Adiabatic Invariants for Relativistic Hamilton System

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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.

关键词

relativistic Hamilton system / Lie symmetry / generalized Hojman adiabatic invariant

Key words

relativistic Hamilton system / Lie symmetry / generalized Hojman adiabatic invariant

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ZHANG Xiao-Ni, FANG Jian-Hui, LIN Peng, . Perturbation to Lie Symmetry and Generalized Hojman Adiabatic Invariants for Relativistic Hamilton System[J]. 理论物理通讯, 2008, 49(04): 855-858
ZHANG Xiao-Ni, FANG Jian-Hui, LIN Peng, et al. Perturbation to Lie Symmetry and Generalized Hojman Adiabatic Invariants for Relativistic Hamilton System[J]. Communications in Theoretical Physics, 2008, 49(04): 855-858
中图分类号: 03.20.+i    03.30.+p    11.30.-j   

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