Generalized span categories provide a framework for formalizing mathematical models of open systems in classical mechanics. We introduce LagSy and HamSy that, respectively, categorical the Lagrangian Hamiltonian descriptions mechanical systems. The morphisms correspond to such systems, composition construction from subsystems. Legendre transformation gives rise functor that translates perspecti...

An attempt is made to show in a straightforward way how a body-fixed frame may be constructed in classical and hence in quantum mechanics for a polyatomic molecule with the aid of which the vibration-rotation behavior of the molecule may be described.