物理学报2001,Vol.50Issue(3):383-389,7.
转动系统相对论性Birkhoff动力学的基本理论
BASIC THEORY OF RELATIVISTIC BIRKHOFFIAN DYNAMICS OF ROTATIONAL SYSTEM
摘要
Abstract
The basic theory of relativistic Birkhoffian dynamics of rotational system is constructed, and the Birkhoffian,Birkhoff's functions,Pfaff action,Pfaff-Birkhoff principle,Pfaff-Birkhoff-D' Alembert principle and Birkhoffian equations are given.The relations among relativistic Lagrangian mechanics,Hamiltonian mechanics and relativistic Birkhoffian dynamics of rotational system are studied.It is proved that the holonomic conserved and holonomic non-conserved rotational relativistic systems can all belong to the rotational relativistic Birkhoffian system.关键词
转动系统/相对论/Birkhoff动力学/变分原理分类
数理科学引用本文复制引用
罗绍凯,傅景礼,陈向炜..转动系统相对论性Birkhoff动力学的基本理论[J].物理学报,2001,50(3):383-389,7.基金项目
国家自然科学基金(批准号:19972010)及河南省自然科学基金(批准号:984053100和998040080)资助的课题 (批准号:19972010)