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THE FORM INVARIANCES AND THE HOJMAN CONSERVED QUANTITIES FOR HAMILTON SYSTEMS

THE FORM INVARIANCES AND THE HOJMAN CONSERVED QUANTITIES FOR HAMILTON SYSTEMS
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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. 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.
机构地区 Department of Physics
出处 《巢湖学院学报》 2010年第3期40-46,共7页 Journal of Chaohu University
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.
关键词 摘要 编辑部 编辑工作 读者 Hamilton system form invariance Lie symmetry Hojman conserved quantity PACC: 0320
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