% ========================================================================= % Program to solve 1D infinite well problem % ***************************** By Mahesha MG ***************************** % This is to solve 1D Schrodinger wave equation (Time independent system) % by finite difference method -- boundary value problem % Date: 07/09/2012 % ========================================================================= clc; clear; x0=0; m=1.1; sum2=1; n=input('Enter energy state n: '); xl=input('Enter length of the well(in nm): '); while(floor(m)<m) h=input('Enter stepsize in nm: '); m=(xl-x0)/h; if floor(m)<m warning('Step size is wrong. Enter proper value') end end x=x0:h:xl; y=zeros(size(x)); y(1)=0; y(m+1)=0; y(2)=1; for i=3:m y(i) = -(y(i-2)+((-2+(n*n*pi*pi*h*h/(xl*xl)))*y(i-1))); sum2=sum2+y(i)^2; end y=y/sqrt(sum2); %normalization y2=y.^2; %y2 gives probability density figure('color','white') subplot(2,1,1), plot(x,y,'r') title('By Mahesha MG') xlabel('Distance in nm') ylabel('wave function') subplot(2,1,2),plot(x,y2) xlabel('Distance in nm') ylabel('probability density')

## Friday, September 7, 2012

### MATLAB - 1D Schrodinger wave equation (Time independent system)

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MMG IS A GREAT Physicist.

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