  The most common physical formalisms are the Lagrangian formalism and the
Hamiltonian formalism. From the superficial point of view, they are one and the
same, but rewritten in other terms. However, it seems that the Hamiltonian
formalism has a richer structure and is more convenient for studying the
electromagnetic field, especially in the formalization of its geometrization.
Unfortunately for field problems, there is a whole set of Hamiltonian
formalisms. The authors study the applicability of different variants of the
Hamiltonian formalism to the problems of electrodynamics. In this paper we
consider the Hamiltonian formalism with constraints.
