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讨论了构造Birkhoff表示的Hojman方法.利用该方法重新研究Birkhoff对称性，提出一种关于该对称性的新见解，给出Birkhoff守恒量的新证明，并对该守恒量仅与Birkhoff张量相关作出解释.举例说明所得结果的应用.
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关键词:
- Birkhoff系统 /
- 对称性 /
- 守恒量 /
- Hojman方法
[1] ［1］Santilli R M 1983 Foundations of Theoretical Mechanics (Ⅱ) (New York: Springer-Verlag)
[2] ［2］Mei F X, Shi R C, Zhang Y F, Wu H B 1996 Dynamics of Birkhoffian System (Beijing: Beijing Institute of Technology Press) (in Chinese) ［梅凤翔、史荣昌、张永发、吴惠彬 1996 Birkhoff系统动力学 （北京：北京理工大学出版社）］
[3] ［3］Mei F X 2004 Symmetries and Conserved Quantities of Constrained Mechanical Systems (Beijing: Beijing Institute of Technology Press) (in Chinese) ［梅凤翔 2004 约束力学系统的对称性与守恒量 （北京：北京理工大学出版社）］
[4] ［4］Luo S K, Zhang Y F 2008 Advances in the Study of Dynamics of Constrained Systems (Beijing: Science Press) pp288—415 (in Chinese) ［罗绍凯、张永发 2008 约束系统动力学研究进展（北京：科学出版社） 第288—415页］
[5] ［5］Mei F X, Gang T Q, Xie J F 2006 Chin. Phys. 15 1678
[6] ［6］Mei F X 2009 Adv. Mech. 39 37 (in Chinese) ［梅凤翔 2009 力学进展 39 37］
[7] ［7］Mei F X 1993 Sci. China A 36 1456
[8] ［8］Zhang Y 2002 Acta Phys. Sin. 51 461 (in Chinese) ［张毅 2002 物理学报 51 461］
[9] ［9］Gu S L, Zhang H B 2004 Chin. Phys. 13 979
[10] ］Zhang R C, Chen X W, Mei F X 2001 Chin. Phys. 10 12
[11] ］Xu X J, Mei F X, Qin M C 2004 Chin. Phys. 13 1999
[12] ］Zhang Y 2002 Chin. Phys. 11 437
[13] ］Hojman S, Urrutia L F 1981 J. Math. Phys. 22 1986
[14] ］Ding G T 2008 Acta Phys. Sin. 57 7415 (in Chinese) ［丁光涛 2008 物理学报 57 7415］
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[1] ［1］Santilli R M 1983 Foundations of Theoretical Mechanics (Ⅱ) (New York: Springer-Verlag)
[2] ［2］Mei F X, Shi R C, Zhang Y F, Wu H B 1996 Dynamics of Birkhoffian System (Beijing: Beijing Institute of Technology Press) (in Chinese) ［梅凤翔、史荣昌、张永发、吴惠彬 1996 Birkhoff系统动力学 （北京：北京理工大学出版社）］
[3] ［3］Mei F X 2004 Symmetries and Conserved Quantities of Constrained Mechanical Systems (Beijing: Beijing Institute of Technology Press) (in Chinese) ［梅凤翔 2004 约束力学系统的对称性与守恒量 （北京：北京理工大学出版社）］
[4] ［4］Luo S K, Zhang Y F 2008 Advances in the Study of Dynamics of Constrained Systems (Beijing: Science Press) pp288—415 (in Chinese) ［罗绍凯、张永发 2008 约束系统动力学研究进展（北京：科学出版社） 第288—415页］
[5] ［5］Mei F X, Gang T Q, Xie J F 2006 Chin. Phys. 15 1678
[6] ［6］Mei F X 2009 Adv. Mech. 39 37 (in Chinese) ［梅凤翔 2009 力学进展 39 37］
[7] ［7］Mei F X 1993 Sci. China A 36 1456
[8] ［8］Zhang Y 2002 Acta Phys. Sin. 51 461 (in Chinese) ［张毅 2002 物理学报 51 461］
[9] ［9］Gu S L, Zhang H B 2004 Chin. Phys. 13 979
[10] ］Zhang R C, Chen X W, Mei F X 2001 Chin. Phys. 10 12
[11] ］Xu X J, Mei F X, Qin M C 2004 Chin. Phys. 13 1999
[12] ］Zhang Y 2002 Chin. Phys. 11 437
[13] ］Hojman S, Urrutia L F 1981 J. Math. Phys. 22 1986
[14] ］Ding G T 2008 Acta Phys. Sin. 57 7415 (in Chinese) ［丁光涛 2008 物理学报 57 7415］
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