Higher Order Hamiltonian Systems with Generalized Legendre Transformation

Canoni al transformation and stabilization of generalized Hamiltonian systems

Canonical transformation and stabilization of generalized Hamiltonian systems

This paper introduces generalized canonical transformations for generalized Hamiltonian systems which convert a generalized Hamiltonian system into another one, and preserve the generalized Hamiltonian structure of the original. As in classical mechanics it is expected that canonical transformations will provide new insights and fundamental tools for both analysis and synthesis of those systems...

On Higher-order Linear Port-Hamiltonian Systems and Their Duals ?

We formulate a behavioral approach to higher-order linear port-Hamiltonian systems. We formalize constitutive laws such as power conservation, storage and (anti)dissipative relations, and we study several properties of such systems. We also define the dual of a given port-Hamiltonian behavior.

Higher-order effective Hamiltonian for light atomic systems

Krzysztof Pachucki Institute of Theoretical Physics, Warsaw University, Hoża 69, 00-681 Warsaw, Poland (Dated: November 18, 2004) Abstract We present the derivation of the effective higher-order Hamiltonian, which gives mα6 contribution to energy levels of an arbitrary light atom. The derivation is based on the Foldy-Wouthuysen transformation of the one-particle Dirac Hamiltonian followed by pe...

The Hamiltonian Formulation of Higher Order Dynamical Systems

Using Dirac’s approach to constrained dynamics, the Hamiltonian formulation of regular higher order Lagrangians is developed. The conventional description of such systems due to Ostrogradsky is recovered. However, unlike the latter, the present analysis yields in a transparent manner the local structure of the associated phase space and its local sympletic geometry, and is of direct application...