Paramount among them are the so called constants of motion
, they say, which are physical quantities that are conserved along the solution trajectories of a large set of differential systems named conservation problems.
For atomic and molecular systems, his calculation is based on the fact that the wave function and geometric elements of the wave described by the Schrodinger equation are mathematical objects that describe the same physical system and depend on its constants of motion
The first four chapters contain extended reviews of the main results on dynamical symmetries and corresponding constants of motion
in non-relativistic and relativistic classical mechanics and non-relativistic quantum mechanics.