关键词: 双方型势垒, 共振隧穿, 解析解

Abstract: For double-barrier or multi-barrier systems, resonant tunneling will occur when the incident particle energy conforms to the resonant energy level, making the transmittance a maximum. This important property has broad application prospects in many quantum or semiclassical devices. In this paper, we mainly study one-dimensional double square barrier model and ABABA double square barrier system with high symmetry. Based on the Schrodinger equation, a general method for calculating the transmissivity of one-dimensional double-barrier system is derived, which provides a reference formula for numerical calculation, and proves the existence of analytical solution of transmissivity. For the ABABA double square barrier system model with high symmetry, the analytical expression of transmissivity is derived, the analytical solution of resonant tunneling condition is given, and the necessary conditions and influencing factors of resonant tunneling are discussed.

Key words: double barrier system, resonant tunneling, analytical solution