Open AccessLIE SYMMETRIES AND CONSERED QUANTITIES OF RELATIVISTIC ROTATIONAL VARIABLE MASS SYSTEM
Author(s) -
Jianhui Fang,
Zhao Song-qing
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.50.390
Subject(s) - homogeneous space , infinitesimal , physics , variable (mathematics) , differential equation , center of mass (relativistic) , classical mechanics , mathematical physics , mathematical analysis , mathematics , quantum mechanics , energy–momentum relation , geometry
The d'Alembert principle and the differential equations of motion of relativistic rotational variable mass system are given. By using the invariance of the differential equations under the infinitesimal transformations, the determining equations of the Lie symmetries of relativistic rotational variable mass system are built, and the structure equation and the conserved quantities of the Lie symmetries are obtained. An example is given to illustrate the application of the result.