Open AccessForm invariance for Hamiltonian Ermakov systems
Author(s) -
Lou Zhi-Mei
Publication year - 2005
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.54.1969
Subject(s) - hamiltonian (control theory) , mathematical physics , physics , covariant hamiltonian field theory , rotational invariance , hamiltonian system , classical mechanics , quantum mechanics , mathematics , mathematical optimization
In this paper, we study the Hamiltonian Ermakov systems using the method of form invariance. In terms of the form invariance of the Hamiltonian Ermakov systems,the generator of point symmetry transformations and the partial differential equations for the potential energy are obtained by comparing the coefficients of all monomials.The result indicates that under the point symmetry transformations,only the autonomous Hamiltonian Ermakov systems possess form invariance.