Open AccessNew kind of inverse problems of Noether’s theory for Hamiltonian systems
Author(s) -
Ding Guang-Tao
Publication year - 2010
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.59.1423
Subject(s) - noether's theorem , homogeneous space , hamiltonian (control theory) , mathematical physics , conserved quantity , inverse , hamiltonian system , physics , mathematics , theoretical physics , lagrangian , mathematical optimization , geometry
In this paper, a new kind of inverse problems of Noether’s theory for Hamiltonian systems is studied. The general solution and the specific solutions of constructing the Hamiltonians and the symmetries from known first integrals by using Noether’s theory are obtained. Two corollaries according to which the conserved quantities can be deduced directly from the Hamiltonians are presented. Two examples are given to illustrate the application of the results.