- #1
Rorshach
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Homework Statement
Hello, I have this problem with seemingly simple process, but there are things I either don't know, or make some stupid mistake on the way over and over. Here's the problem:
At a particular time given by the wave function ψ(x)=N*x*exp(-(x/a)2)
Determine N so that the wave function is normalized. Then determine xψ, pxψ, px2ψ and Hψ. For this case assume that V (x) = 1/2kx2. Calculate the <H>.
Homework Equations
px=±ihbarred(d/dx)
The Attempt at a Solution
I tried to normalize the function using wolframalpha, but the result came out with unknown to me error function(I don't know this function at all, this is my first time meeting it), hence my problem with normalizing the function. I do not know why they ask for the values in this form (px*ψ- why the *ψ?), but according to the textbook I can get px from the equation I gave above, just by differentiating the wave function on x values and include the i*hbarred, which I estimated to be (N*exp(-(x/a)2)*(a2-2x2))/a2. However in the answers I got totally different result:
-i*hbarred*N*(1-2x2/a2)*exp(-(x/a)2)