检索结果-南通市图书馆

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

在线全文

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2008年第4期49卷 855-858页

作者： zhang xiao-ni fang jian-hui lin peng pang ting College of Physics Science and Technology China University of Petroleum Dongying 257061 China

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 jnvariants 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

A New Type of Conserved Quantity of Mei Symmetry for Relativistic Variable Mass Mechanical System in Phase Space

在线全文

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2008年第5期49卷 1145-1147页

作者： zhang xiao-ni fang jian-hui lin peng pang ting College of Physics Science and Technology China University of Petroleum Dongying 257061 China

In this paper, a new type of conserved quantity directly deduced from the Mei symmetry for relativistic variable mass system in phase space is studied. The definition and the criterion of the Mei symmetry for the system are given. The conditions for existence and the form of the new conserved quantity are obtained. Finally, an example is given to illustrate the application of the results.

关键词： relativity variable mass system phase space Mei symmetry new conserved quantity

Perturbation to Unified Symmetry and Adiabatic Invariants for Relativistic Hamilton Systems

在线全文

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2009年第6期51卷 961-966页

作者： zhang Ming-jiang fang jian-hui LU Kai pang ting lin peng College of Physics Science and Technology China University of Petroleum Dongying 257061 China

Based on the concept of adiabatic invariant, the perturbation to unified symmetry and adiabatic invariants for relativistic Hamilton systems are studied. The definition of the perturbation to unified symmetry for the system is presented, and the criterion of the perturbation to unified symmetry is given. Meanwhile, the Noether adiabatic invariants, the generalized Hojman adiabatic invariants, and the Mei adiabatic invariants for the perturbed system are obtained.

关键词： unified symmetry perturbation adiabatic invariant relativistic Hamilton system

Perturbation to Lie-Mei Symmetry and Adiabatic Invariants for Birkhoffian Systems

在线全文

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2009年第7期52卷 1-6页

作者： zhang Ming-jiang fang jian-hui LU Kai pang ting lin peng College of Physics Science and Technology China University of Petroleum Dongying 257061 China

Based on the concept of adiabatic invariant,the perturbation to Lie-Mei symmetry and adiabatic invariantsfor Birkhoffian systems are *** definition of the perturbation to Lie-Mei symmetry for the system is presented,and the criterion of the perturbation to Lie-Mei symmetry is ***,the Hojman adiabatic invariants andthe Mei adiabatic invariants for the perturbed system are obtained.

关键词： Lie Mei symmetry perturbation adiabatic invariant Birkhoffian system

Conformal Invariance and a New Type of Conserved Quantities of Mechanical Systems with Variable Mass in Phase Space

在线全文

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2009年第10期52卷 561-564页

作者： zhang Ming-jiang fang jian-hui lin peng LU Kai pang ting College of Physics Science and Technology China University of Petroleum Dongying 257061 China

Conformal invariance and a new type of conserved quantities of mechanical systems with variable mass in phase space are studied. Firstly, the definition and determining equation of conformal invariance are presented. The relationship between the conformal invariance and the Lie symmetry is given, and the necessary and sufficient condition that the conformal invarianee would be the Lie symmetry under the infinitesimal transformations is provided. Secondly, a new type of conserved quantities of the conformal invariance are obtained by using the Lie symmetry of the system. Lastly, an example is given to illustrate the application of the results.

关键词： conformal invariance conserved quantity variable mass system phhse space

Perturbation to Mei Symmetry and Adiabatic Invariants for Nonholonomic Systems in Terms of Quasi-Coordinates

在线全文

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2009年第11期52卷 779-783页

作者： pang ting fang jian-hui zhang Ming-jiang lin peng LU Kai College of Physics Science and Technology China University of Petroleum Dongying 257061 China

Abstract Based on the concept of adiabatic invariant, the perturbation to Mei symmetry and adiabatic invariants for nonholonomic mechanical systems in terms of quasi-coordinates are studied. The definition of the perturbation to Mei symmetry for the system is presented, and the criterion of the perturbation to Mei symmetry is given. Meanwhile, the Mei adiabatic invariants for the perturbed system are obtained.

关键词： Mei symmetry perturbation nonholonomic mechanical system quasi-coordinates

New Type of Conserved Quantities of Lie Symmetry for Nonholonomic Mechanical Systems in Phase Space

在线全文

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2009年第12期52卷 977-980页

作者： pang ting fang jian-hui lin peng zhang Ming-jiang LU Kai College of Physics Science and Technology China University of Petroleum Dongying 257061 China

The new types of conserved quantities, which are directly induced by Lie symmetry of nonholonomie mechanical systems in phase space, are studied. Firstly, the criterion of the weak Lie symmetry and the strong Lie symmetry are given. Secondly, the conditions of existence of the new type of conserved quantities induced by the weak Lie symmetry and the strong Lie symmetry directly are obtained, and their form is presented. Finaily, an Appell-Hamel example is discussed to further illustrate the applications of the results.

关键词： Lie symmetry conserved quantity nonholonomic mechanical system phase space

New Conserved Quantities of Noether-Mei Symmetry for Nonholonomic Mechanical System

在线全文

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2008年第9期50卷 603-606页

作者： LIU Yang-Kui fang jian-hui pang ting lin peng College of Physics and Electonic Engineering Longdong University Qingyang 745000 China College of Physics Science and Technology China University of Petroleum Dongying 257061 China

Two new types of conserved quantities deduced by Noether-Mei symmetry of nonholonomic mechanicalsystem are *** definition and criterion of Noether-Mei symmetry for the system are given.A coordinationfunction is introduced,and the conditions under which the Noether-Mei symmetry leads to the two types of conservedquantities and the forms of the two types of conserved quantities are *** illustrative example is *** function can be selected according to the demand for finding the gauge function,and the choice of thecoordination function has multiformity,so more conserved quantities deduced from Noether-Mei symmetry of mechanicalsystem can be obtained.

关键词： nonholonomic mechanical system Noether-Mei symmetry new conserved quantity

A New Type of Conserved Quantity of Mei Symmetry for Lagrange Systems

在线全文

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2007年第5X期48卷 799-800页

作者： DING ning fang jian-hui WANG peng zhang xiao-ni College of Physics Science and Technology China University of Petroleum Dongying 257061 China

A new type of conserved quantity, which is induced from the Mei symmetry of Lagrange systems, is studied. The conditions for that the new type of conserved quantity exists and the form of the new type of conserved quantity are obtained. An illustrated example is given. The Noether conserved quantity induced from the Mei symmetry of Lagrange systems is a special case of the new type of conserved quantity given in this paper.

关键词： Mei symmetry new type of conserved quantity Lagrange system