Need help integrating? Format Help?

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Homework Help Overview

The discussion revolves around integrating a wave function represented as ψ(x,t)= Axe^[-x^2 ((sqrt(km))/2h)]*e^[-3it/2(sqrt(k/m))]. The original poster seeks assistance in formatting this integral for input into Wolfram Alpha or Mathematica to find specific values related to the wave function.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the challenges of formatting the integral correctly for computational tools. Some suggest that the original poster might benefit from solving the integral by hand instead. There are questions about the clarity of the original poster's request and whether the notation can be simplified.

Discussion Status

The discussion is ongoing, with participants providing hints and suggestions for clarification. There is a recognition that the problem may be more straightforward to solve manually, and some participants express skepticism about relying solely on computational tools.

Contextual Notes

Participants note the potential for confusion in the original poster's question and the complexity of the wave function's notation. There is an implied expectation that the problem can be approached without computational assistance.

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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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