Study on resonant tunneling conditions of a one-dimensional double barrier single well model
For double-barrier or multi-barrier systems,resonant tunneling will occur when the incident parti-cle 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-dimen-sional 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 so-lution of transmissivity.For the ABABA double square barrier system model with high symmetry,the analytical ex-pression of transmissivity is derived,the analytical solution of resonant tunneling condition is given,and the neces-sary conditions and influencing factors of resonant tunneling are discussed.