College Physics ›› 2022, Vol. 41 ›› Issue (1): 15-.doi: 10.16854 / j.cnki.1000-0712.210279
Previous Articles Next Articles
LI Hai-feng,WANG Xin-mao
Received:
Revised:
Online:
Published:
Abstract:
Quantum tunneling effect has important applications in practical technology. In
this paper,it is shown how to calculate the transmission coefficients of one-dimensional
asymmetric and symmetric double square potential barriers with the arbitrary boundary.
Then we study the dependence of the transmission coefficients for symmetric double square
potential barriers on the barrier width,the spacing between the two barriers and the ratio of the
incident energy of microscopic particles to barrier height ( E / U₀) . Finally,the results show
that the transmis-sion coefficient decreases from the maximum value 1 to the minimum value 0 with the increase of the
barrier width. Moreover,the transmission coefficient oscillates periodically with the increase of
the barrier spacing. The analytical expression of the barrier spacing corresponding to the maximum
transmission coefficient is derived,and the period of oscillation is given,which is equal to
the de Broglie wave length of the microscopic particle. When the barrier width is
smaller,the transmission coefficient is easier to reach and keep the maximum value 1 with the
increase of E / U₀. When the spacing of the double potential barriers is larger,the oscillation
period of the transmission coeffi- cient is larger,while the oscillation amplitude becomes
smaller,with the increase of E / U₀. Therefore,the particle is easier to realize resonant
tunneling in this case.
Key words: double square potential barriers, quantum tunneling, resonant tunneling, stationary state Schr?dinger equation
LI Hai-feng, WANG Xin-mao. Study and numerical simulation of quantum tunneling for one-dimensional double square potential barriers[J].College Physics, 2022, 41(1): 15-.
0 / / Recommend
Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks
URL: https://dxwl.bnu.edu.cn/EN/10.16854 / j.cnki.1000-0712.210279
https://dxwl.bnu.edu.cn/EN/Y2022/V41/I1/15
Cited