Pontryagin principle of maximum for the quantum problem of speed

The Pontryagin principle of maximum as originally formulated for the classical dynamic systems, was extended to the quantum systems with a finite number of states of the discrete spectrum. The principle was derived on the basis of equivalence of the matrix representation of the Schrödinger equation to the system of ordinary differential equations. An example of the problem of speed for generation of the given-structure wave package was considered.