• Hamilton-Jacobi theory and the evolution operator 

      Cariñena Marzo, José Fernando; Gràcia Sabaté, Francesc Xavier; Martínez Fernández, Eduardo; Marmo, Giuseppe; Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso (Universidad de Zaragoza, Prensas Universitarias de Zaragoza, 2009)
      Capítol de llibre
      Accés obert
      We present a new setting of the geometric Hamilton-Jacobi theory by using the so-called time-evolution operator K. This new approach unifies both the Lagrangian and the Hamiltonian formulation of the problem developed in ...
    • Infinitesimal time reparametrisation and its applications 

      Cariñena Marzo, José Fernando; Martínez Fernandez, Eduardo; Muñoz Lecanda, Miguel Carlos (Springer, 2022-02-21)
      Article
      Accés obert
      A geometric approach to Sundman infnitesimal time-reparametrisation is given and some of its applications are used to illustrate the general theory. Special emphasis is put on geodesic motions and systems described by ...
    • Sundman transformation and alternative tangent structures 

      Cariñena Marzo, José Fernando; Martínez Fernandez, Eduardo; Muñoz Lecanda, Miguel Carlos (Institute of Physics (IOP), 2023-04-12)
      Article
      Accés restringit per política de l'editorial
      A geometric approach to Sundman transformation defined by basic functions for systems of second-order differential equations is developed and the necessity of a change of the tangent structure by means of the function ...