A system theoretic representation of mechanical systems. I. Decomposition of a mechanical system into a hierarchy of orthogonal stationary linear dynamical systems
Dipak K. Saraswati, Hans Primas
A system theoretic representation of mechanical systems is proposed. It is shown that mechanical systems, classical or quantal, described by the Liouville equation, can be realized as a stationary linear input–output system. This state space representation of mechanical systems is then extended to decompose a mechanical system into a hierarchy of orthogonal stationary linear dynamical systems.
Journal of Mathematical Physics•Dec 1, 1978•1 citation