Open AccessBASIC THEORY OF RELATIVISTIC BIRKHOFFIAN DYNAMICS OF ROTATIONAL SYSTEM
Author(s) -
Luo Shao-Kai,
Jing-Li Fu,
Xiangwei Chen
Publication year - 2001
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.50.383
Subject(s) - physics , classical mechanics , rotational dynamics , conserved quantity , holonomic , lagrangian , dynamics (music) , hamiltonian mechanics , hamiltonian (control theory) , action (physics) , relativistic dynamics , mathematical physics , mathematics , quantum mechanics , mathematical optimization , molecule , acoustics , phase space
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.