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THE FORM INVARIANCES AND THE HOJMAN CONSERVED QUANTITIES FOR HAMILTON SYSTEMS

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【作者】 张宏彬顾书龙陈海波

【Author】 Zhang Hong-Bin,Gu Shu-Long and Chen Hai-Bo(Department of Physics,Chaohu College,Chaohu Anhui 238000)

【机构】 Department of Physics,Chaohu College

【摘要】 The form invariance and the Lie symmetry are defined for Hamilton systems.A relation between the form invariance and the Lie symmetry is derived.The Hojman conserved quantity is constructed by using the generators of Lie symmetry.An approach to find Hojman conserved quantities in terms of the form invariance is presented.An example is given to illustrate the application of the results.

【Abstract】 The form invariance and the Lie symmetry are defined for Hamilton systems.A relation between the form invariance and the Lie symmetry is derived.The Hojman conserved quantity is constructed by using the generators of Lie symmetry.An approach to find Hojman conserved quantities in terms of the form invariance is presented.An example is given to illustrate the application of the results.

【基金】 Project supported by the National Natural Science Foundation of China under Grant No.10872037;the National Natural Science Foundation of Anhui Province under Grant No.070416226.
  • 【文献出处】 巢湖学院学报 ,Journal of Chaohu College , 编辑部邮箱 ,2010年03期
  • 【分类号】O316
  • 【下载频次】21
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