中国物理B ›› 2001, Vol. 10 ›› Issue (4): 271-276.doi: 10.1088/1009-1963/10/4/301
• • 下一篇
罗绍凯, 陈向炜, 傅景礼
Luo Shao-kai (罗绍凯), Chen Xiang-wei (陈向炜), Fu Jing-li (傅景礼)
摘要: The Birkhoffian and Birkhoff's functions of a rotational relativistic system are constructed, the Pfaff action of rotational relativistic system is defined, the Pfaff-Birkhoff principle of a rotational relativistic system is given, and the Pfaff-Birkhoff-D'Alembert principles and Birkhoff's equations of rotational relativistic system are constructed. The geometrical description of a rotational relativistic system is studied, and the exact properties of Birkhoff's equations and their forms on {\vec R}×T*M for a rotational relativistic system are obtained. The global analysis of Birkhoff's equations for a rotational relativistic system is studied, the global properties of autonomous, semi-autonomous and non-autonomous rotational relativistic Birkhoff's equations, and the geometrical properties of energy change for rotational relativistic Birkhoff's equations are given.
中图分类号: (Special relativity)