Equations are found at : http://www.viewdocsonline.com/document/zl3psf(adsbygoogle = window.adsbygoogle || []).push({});

3.Plot the expression for the Gaussian wavepacket, equation (2) of the notes

for t = 0; 0.5; 1.5 secs

Use N = 4096 L = 25 (length of positive x axis), beta = 0:5785 (an

electron), alpha = 0.5, k0 = 1, x0 = L, xN = L, dx =

2L/N.

4.Write and test the symmetric tridiagonal system of equation solver in C#. Adapt

the code from the notes for use with your complex number types.

5.Repeat 3 by evolving psi(x, 0) in time by solving equations (7), (9) and (10)

in the notes using your solver from 4. above. I used t = 0.001. Note V (x)

from the notes is 0 everywhere in this part but include it in you program

because you need it for the next bit

What I don't understand is the fifth question, what do they mean by "evolve in time"? I thought it meant to plot psi(x,t) for different values of t but how can that be possible if they have already given me that t = 0? Even if I did that i would need values of R in order to solve for the psi vector, where do I get that? Can somebody explain to me what question 5 wants me to do, I am not a Physicist so very complex explanations will probably not be understood.

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# Solving the general Schodinger equation

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