Open AccessPerturbation to symmetries and adiabatic invariant for systems of generalized c lassical mechanics
Author(s) -
Zhang Yi,
Mei Feng-Xiang
Publication year - 2003
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.52.2368
Subject(s) - adiabatic invariant , adiabatic process , homogeneous space , invariant (physics) , phase space , physics , perturbation (astronomy) , mathematical physics , classical mechanics , transformation group , adiabatic theorem , quantum mechanics , mathematics , pure mathematics , geometry
This paper studies the exact invariants and the adiabatic invariants for systems of generalized classical mechanics in the high-dimensional extended phase space and gives the relations between the invariants and the symmetries of the system s in the space. Based on the concept of high-order adiabatic invariant of mechan ical systems with the action of small disturbance, it presents the form of the h igh-order adiabatic invariant and the conditions for their existence,and establi shes the relationship between adiabatic invariant and symmetrical transformation . In the end of this paper, an example is given to illustrate the application of the results.