Perturbation to Noether Symmetry and Noether Adiabatic Invariants of General Discrete Holonomic Systems
The perturbation to Noether symmetry and Noether adiabatic invariants of general discrete holonomic systems are studied. First, the discrete Noether exact invariant induced directly from the Noether symmetry of the system without perturbation is given. Secondly, the concept of discrete high-order ad...
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| Published in | Chinese physics letters Vol. 26; no. 12; pp. 1 - 4 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
IOP Publishing
01.12.2009
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0256-307X 1741-3540 |
| DOI | 10.1088/0256-307X/26/12/120201 |
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| Abstract | The perturbation to Noether symmetry and Noether adiabatic invariants of general discrete holonomic systems are studied. First, the discrete Noether exact invariant induced directly from the Noether symmetry of the system without perturbation is given. Secondly, the concept of discrete high-order adiabatic invariant is presented, the criterion of the perturbation to Noether symmetry is established, and the discrete Noether adiabatic invariant induced directly from the perturbation to Noether symmetry is obtained. Lastly, an example is discussed to illustrate the application of the results. |
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| AbstractList | The perturbation to Noether symmetry and Noether adiabatic invariants of general discrete holonomic systems are studied. First, the discrete Noether exact invariant induced directly from the Noether symmetry of the system without perturbation is given. Secondly, the concept of discrete high-order adiabatic invariant is presented, the criterion of the perturbation to Noether symmetry is established, and the discrete Noether adiabatic invariant induced directly from the perturbation to Noether symmetry is obtained. Lastly, an example is discussed to illustrate the application of the results. |
| Author | 张明江 方建会 路凯 张克军 李燕 |
| AuthorAffiliation | College of Physics Science and Technology, China University of Petroleum, Dongying 257061 |
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| Cites_doi | 10.1088/1009-1963/9/10/001 10.7498/aps.51.2417 10.1088/0256-307X/24/9/001 10.1088/0253-6102/48/1/005 10.1088/1674-1056/17/2/005 10.1088/1674-1056/17/12/003 10.1088/0256-307X/26/7/070203 10.1088/0253-6102/50/3/14 10.1088/0305-4470/34/44/311 10.1088/1674-1056/17/6/004 10.1063/1.532230 10.1088/0305-4470/33/47/313 10.1016/S0168-9274(00)00041-6 10.1088/1009-1963/15/9/006 10.1016/j.physleta.2005.01.087 10.1002/andp.19173570206 10.1088/1009-1963/16/11/005 10.1088/0256-307X/26/3/034501 |
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| References | 11 Levi D (5) 2000; 33 Noether A E (1) 1918; 2 Mei F X (2) 2004 Zhao Y Y (12) 1999 Chen X W (13) 2000; 9 15 Luo S K (19) 2007; 24 Zhang Y (14) 2002; 51 Fu J L (10) 2008; 17 Wang P (21) 2009; 26 Levi D (6) 2001; 34 Luo S K (17) 2007; 16 Zhang M J (20) 2008; 17 4 Zhang Y (16) 2006; 15 Shi S Y (8) 2008; 17 7 Ding N (18) 2007; 48 Luo S K (3) 2008 Pang T (22) 2009; 26 Shi S Y (9) 2008; 50 |
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| Snippet | The perturbation to Noether symmetry and Noether adiabatic invariants of general discrete holonomic systems are studied. First, the discrete Noether exact... |
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| SubjectTerms | Adiabatic flow Criteria Invariants Noether对称性 Perturbation Symmetry 完整系统 绝热不变量 |
| Title | Perturbation to Noether Symmetry and Noether Adiabatic Invariants of General Discrete Holonomic Systems |
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