Vladimir F. Degtyarev,
Moscow Technical University of Communications and Informatics, Moscow, Russia
DOI: 10.36724/2664-066X-2023-9-6-12-19
SYNCHROINFO JOURNAL. Volume 9, Number 6 (2023). P. 12-19.
Abstract
In the quantum-size chain, the features of microparticles energy spectrum with energy exceeding potential barrier height have been studied. It has been established that in this case, resonant levels are formed. For particles with energy equal to the energy of these levels, the transparency of the structure is equal to unity. It has been established that with an increase in the number of units, these levels split into close sublevels and the wave function changes. The energies of these sublevels and wave functions are determined. A mechanism for rearranging levels in the chain is proposed. This mechanism is based on ideas about the points of change in the phases of oscillator oscillations during the formation of a chain. It has been established that the parameters of these sublevels (energy, wave function) depend on the parameters of barriers, wells and the number of cells in the chain. The proposed model allows us to determine the characteristics of these sublevels, in particular their energy and wave functions.
Keywords: Quantum mechanics, quantum barrier, wave function, transparency, nanoelectronics, resonant levels
References
[1] V.Ya Demikhovsky, G.A. Vugalter, “Physics of quantum low-dimensional structures,” Moscow: Logos, 2000. 248 p.
[2] M. Herman, “Semiconductor superlattices,” Moscow: Mir, 1989. 240 p.
[3] A.P. Silin, “Semiconductor superlattices,” UFN, vol. 47, no. 3, p. 7, pp. 485-516.
[4] V.P. Dragunov, I.G. Neizvestny, V.A. Gridchin, “Nanoelectronics,” part 1. Moscow: Urayt, 2019, 285 p.
[5] A.Yu. Aladyshkin, “Tunnel phenomena in nanophysics,” N. Novgorod: Nizhny Novgorod. state Univ., 2011. 32 p.
[6] A.S. Davydov, “Quantum mechanics,” Moscow: Nauka, 1973. 702 p.
[7] R. Feynman, R. Layton, M. Sands, “Feynman lectures on physics,” vol. 9, Quantum mechanics (II). Moscow: Mir, 1967. 259 p.
[8] V.F. Degtyarev, A.P. Zhilinsky, “Transformation of resonant tunnel levels during the formation of a layered quantum-size structure,” Nanostructures. Mathematical physics and modeling. 2020, vol. 21, no. 2, pp. 33-48.
[9] Ch. Kittel, “Introduction to Solid State Physics,” Moscow: Nauka, 1978, 791 p.
[10] S.P. Strelkov, “Introduction to the theory of oscillations,” St. Petersburg: Lan, 2005, 440 p.
[11] F. Crawford, “Berkeley course in physics,” vol. 3, Waves, Moscow: Nauka, 1984. 521 p.
[12] A.P. Zhilinsky, V.F. Degtyarev, “Features of the interaction of microparticles with a rectangular and trapezoidal potential barrier,” T-Comm. 2019. Vol. 13. No. 8, pp. 10-16.
[13] M. M. Mandour, S. A. Astashkevich, A. A. Kudryavtsev, “Electron vortexes in two-dimensional steady photoplasma,” Chinese Journal of Physics, 2022, vol. 75, pp. 69-75.
[14] S. I. Lashkul, A. B. Altukhov, A. D. Gurchenko, E. Z. Gusakov, V. V. Dyachenko, L. A. Esipov, A. N. Konovalov, D. V. Kuprienko, S. V. Shatalin, A. Yu. Stepanov, “Distinctive features of lower hybrid current drive in plasma of the FT-2 TOKAMAK,” Plasma Physics Reports, 2022, vol. 48, no. 5, pp. 453-461.
[15] B. N. Chetverushkin, O. G. Olkhovskaya, I. P. Tsigvintsev, “Numerical solution of high-temperature gas dynamics problems on high-performance computing systems,” Journal of Computational and Applied Mathematics, 2021, vol. 390v, p. 113374.
[16] M. A. Rydalevskaya, “Simplified method for calculation of equilibrium plasma composition,” Physica A: Statistical Mechanics and its Applications, 2017, vol. 476, pp. 49-57.