2 Formulation of quantum systems

Juan Carlos Micó Ruiz

The work presents a mesoscopic approach to general systems modelled by dynamical systems. The quantum formulation is possible to be obtained by their quantum formulation from a second order Hamiltonian. However, only autonomous linear systems are proved to obtain a Hamiltonian like this. Some application cases are presented, and a discussion about how to generalize the formalism to non-linear dynamical systems is sketched.DOI: http://dx.doi.org/10.4995/IFDP.2016.2795

Masahito Hayashi

Nuno Costa Dias, João Nuno Prata

A brief review of some recent results on the global self-adjoint formulation of systems with boundaries is presented. We specialize to the 1-dimensional case and obtain a dynamical formulation of quantum confinement.

Nuno Costa Dias, João Nuno Prata

A brief review of some recent results on the global self-adjoint formulation of systems with boundaries is presented. We concentrate on the 1-dimensional case and obtain a dynamical formulation of quantum confinement.