Lipetsk: LGPU, 2012. - 72 s. Tutorial for students of higher education institutions . This textbook contains 3 chapters devoted to the description of theoretical methods for calculating the electronic properties of low-dimensional structures and modeling the quantum-energy parameters of semiconductor nanostructures within the framework of quantum mechanics representations. The manual is intended for students of higher educational institutions in the assimilation of disciplines: "Nanoelectronics", "Microelectronics", "Physics of low-dimensional structures", "Condensed state physics", "Computer modeling and design of nanostructures", and can also be used in the study of elective courses.