Invariants of the Lewis kind are introduced within the context of Statistical Mechanics via information theory concepts. Several invariants of the Liouville equation are in this way built-up. Both the classical and the quantal cases are studied. Some applications are discussed. It is shown that...

Invariants of motion are constructed departing from the Gibbs entropy. The method we applied also allows us to find the subspace of a real vector space to which the system is confined to during its temporal evolution. We also find that the Uncertainty Principle is itself an invariant of motion...