Author: Рaсулoв, Р.; Рахматуллаев, Х.; Мaмaтoвa, М.

Annotation: The progress of modern microelectronics is largely determined by the study of the properties of systems with nonuniformly distributed parameters, the development of methods for the effective theoretical analysis of such systems, the development and provision of objective methods for controlling technological processes that make it possible to create semiconductor layers with desired properties. In this regard, below we consider the general issues of the propagation of electron waves in a medium whose properties change only along a certain direction. The approach is based on the use of the one-electron stationary Schrödinger equation to describe the processes of elastic scattering and tunneling of non-interacting spinless particles under the condition that their field is conserved noah energy.

Keywords: Schrеdinger equations, potential, cubic and biquadratic approximations, expansion coefficients, harmonic oscillator, electron effective mass, Airy functions, WKB approximations, energy spectrum.

Pages in journal: 383 - 389