Affiliation:
1. Departament de Matemàtica Aplicada i Telemàtica, Universitat Politècnica de Catalunya, Apdo. 30002, E-08080 Barcelona, Spain
Abstract
We analyse exhaustively the geometric formulations of the time-dependent regular dynamical systems, both the Hamiltonian and the Lagrangian formalisms. We study the equivalence between the different models and, in each case, between the Lagrangian and the Hamiltonian formulations, giving the suitable definitions of the Legendre transformation. In addition, we include the variational formalisms as well as the Klein formalism.
Publisher
World Scientific Pub Co Pte Lt
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Cited by
36 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献