Open AccessNoether’s theory for Birkhoffian systems in the event space
Author(s) -
Zhang Yi
Publication year - 2008
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.57.2643
Subject(s) - noether's theorem , infinitesimal , homogeneous space , mathematics , invariant (physics) , pfaffian , infinitesimal transformation , conserved quantity , action (physics) , phase space , parametric statistics , mathematical physics , pure mathematics , mathematical analysis , physics , geometry , quantum mechanics , statistics
In this paper, the Noether symmetries and the Noether conserved quantities for Birkhoffian systems in the event space is studied. Firstly, the parametric equations for the Birkhoffian systems are established; secondly, the Noether's theorem and its inverse theorem for the systems are given, which are based upon the invariant properties of the Pfaffian action with respect to the action of the infinitesimal transformation; and finally, an examples is given to illustrate the application of the results.