We study in this thesis stationary physical systems, using the approach previously developed in Hejna-Vajda. An important class of such systems is represented by the systems in the state of equilibrium. It is known that the Boltzman entropy and the II. thermodynamical theorem have been an inspiration for the early information theory and remain to be an inspiration untill now (see the basic textbook Cover and Thomas in this area). In this work we try in some sense to do the converse: inspired by some specific concepts of information theory - the information divergence and information capacity, we try to introduce them to the model of quantum physics. This is motivated by the recent effort to increase the speed, miniaturization and security o...