Transmission Coefficients of The Asymmetric Single and Double Barriers
Year: 2024
Type: article
Abstract: The quantum tunneling effect, which is based on the quantum theory that microscopic particles behave in waves through barriers higher than their own energy, has important applications in practical technology. Microscopes such as scanning tunneling microscopes, which use quantum tunneling to generate tunnel currents, have a resolution of up to the desired level. Moreover, it can be used in biology to observe molecular structures such as macromolecules and biofilms. In this paper, the transmission coefficients of one-dimensional asymmetric unilateral barrier and asymmetric two-sided barrier under general arbitrary boundary conditions are strictly derived using the conventional method of solving the steady state Schrodinger equation by quantum mechanics and matrix. Meanwhile, the transmission coefficients of symmetric two-sided barrier are numerically studied. From the above series of methods, it is deduced that the basic working principle of resonant tunneling diode and other semiconductor electronic devices is exactly the tunnel effect. Thus, it is found that quantum tunneling effect plays an important role in life.
DOI: 10.54097/cxt63m23
Authors: Xinyu Liu, Yinghao Lu
Institution: Henan Normal University
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4401847984