Abstract
Some features of the energy spectrum and wave functions of microparticles in the chain of potential barriers are considered. The structure under consideration is a sequence of rectangular potential wells and barriers through which the particle moves. As is known, when such a chain is formed, resonant levels arise in the link, for which the transparency of the system is equal to one. As the number of links increases, these levels and the corresponding wave functions undergo a significant rearrangement. These levels are split into close sublevels, the energy of which depends on the parameters of the barriers and the number of links in the chain. The q-factor of the resulting levels and its dependence on the characteristics of the chain are determined. The dependence of the wave function on the chain parameters is investigated. It is shown that there is a certain analogy between quantum tunneling of particles through a system of barriers and propagation of electromagnetic waves through electric filters. The features of resonant phenomena in these systems are discussed. The developed concepts can be used in nanoelectronics in the development and construction of new devices based on quantum tunneling effects, as well as in the study of relevant sections of the physics course in higher Education institutions.
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