Perturbation to Noether Symmetry and Noether Adiabatic Invariants of General Discrete Holonomic Systems

• Published in: Chinese physics letters Vol. 26; no. 12; pp. 1 - 4
• Main Author: 张明江 方建会 路凯 张克军 李燕
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01.12.2009
• Subjects: Adiabatic flow; Criteria; Invariants; Noether对称性; Perturbation; Symmetry; 完整系统; 绝热不变量
• ISSN: 0256-307X; 1741-3540
• DOI: 10.1088/0256-307X/26/12/120201

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.