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How to plot and animate an ODE in Maple using finite difference scheme

  1. Feb 23, 2013 #1

    I am currently trying to plot and animate a wave function using the Schrodinger equation.

    I currently have the following finite difference equation:-

    i(\psi(x, t+\Delta t)-\psi(x,t))/(\Delta t)=-(1/2)*(\psi(x+\Delta x, t)+\psi(x-\delta x, t)-2*\psi(x,t))/((\Delta x)^2)+V(x)*\psi(x,t)

    Would I set x=-10, for example, where I plan to plot between -10 and 10 so the length L would be L=20 and \Delta x=L/N where N is the number of differences? Should I rearrange for \psi(x,t)?

    As you can probably tell, I'm lost on what I need to do, any help or a similar example would be greatly appreciated.

  2. jcsd
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