Conservation principles are essential to describe and quantify dynamical processes in all areas of physics. Classically, a conservation law holds because the description reality can be considered independent an observation (measurement). In quantum mechanics, however, invasive observations change quantities drastically, irrespective any classical law. One may hope overcome this nonconservation ...

A role of the exterior differential forms in field theory is connected with a fact that they reflect properties of the conservation laws. In field theory a role of the closed exterior forms is well known. A condition of closure of the form means that the closed form is the conservative quantity, and this corresponds to the conservation laws for physical fields. In the present work a role in fie...