Need help integrating? Format Help?

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The discussion centers on the difficulty of inputting a complex wave function and its derivatives into Wolfram Alpha or Mathematica for integration. The wave function provided is ψ(x,t)= Axe^[-x^2 ((sqrt(km))/2h)]*e^[-3it/2(sqrt(k/m))], and the user seeks to calculate <x>, <x^2>, <p>, and <p^2>. Suggestions include simplifying the notation and clarifying the question for better assistance. There is a consensus that solving the problem by hand may be more effective than relying on software. The overall sentiment emphasizes the importance of understanding the underlying mathematics rather than solely depending on computational tools.
bmb2009
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Homework Statement


This may seem like a strange question but I need help putting and integral into wolfram alpha/mathematica. I have to find <x>, <x^2>, <p>, and <p^2> for a given wave function. I know the formulas for all these values but the wave function is ψ(x,t)= Axe^[-x^2 ((sqrt(km))/2h)]*e^[-3it/2(sqrt(k/m))]

so the partial derivatives are long and hard for me to format...ive been trying to input this equation and its derivatives for almost an hour now and can't get a compatible format.. anyone able to help? or maybe there is a way to reduce the notation or does something cancel out? thanks

Homework Equations





The Attempt at a Solution

 
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My statement is most likely moo, but why not solve it by hand?
 
I suspect the question isn't worded clearly enough for me to be certain this is what you are really looking for.

Perhaps this will help with your notation problem

http://www.wolframalpha.com/input/?...2+(Sqrt[k+m]/2h))*e^(-3+i+t/2(Sqrt[k/m]))+,x]

But I'm guessing there still are not correctly placed () in that somewhere.

If you can provide a more detailed and clear question of exactly what you are looking for then perhaps I can provide a more relevant hint
 
Last edited:
Solving equations like this in Wolfram is a fools errand. You have to use your noggin!
 
Bryson said:
You have to use your noggin!
Or you won't learn. This problem is set up to be easy to do by hand.
 
I cannot argue with that!
 

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