restun.m

求解量子力学的薛定谔方程

%> The file <restun.m> calculates the transmission coefficient for the
%> 1D Schrodinger equation using multiplication of transfer matrices
%> which are calculated using Airy functions.
%> The potential is chosen to illustrate resonant tunneling.
%> For a general discussion of the physics of resonant tunneling devices 
%> see Capasso & Datta: Physics Today Feb 1990, p74. 
%> For numerics (using other methods) see for instance: 
%> Mendes & Dominguez-Adame: Am J Phys 6282), 143 (1994) 
%> NOTE: for real resonant tunneling devices the one-electron 
%> approximation is insufficient! However, the narrow resonances are 
%> displayed quite effectively by the present simple model.
%>
%> The potential = two square barriers, height V, and there is a bias B.
%> The particle comes in from x = + infinity with energy E, we start 
%> the integration %> from the transmitted wave in x = 0, energy E+B.
%> Variables in thismodel are V (scalar), E,B vectors of same dimensions
%> where you can choose the upper and lower bound. It is recommended
%> that one of them is chosen as constant, otherwise the display will be
%> a bit confusing.
%> At x = L we adapt the incoming and reflected waves and renormalize
%> to find transmission coefficient. 
%> The reflection coefficient is displayed as a function of bias energy.
%> Notation : Standard Schrodinger equation with mass=hbar=1.
%> Theory: Messiah Vol 1, Chapter 3.
%>
%>