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I have a question regarding how to find the probability of finding a classical particle at position x, in a harmonic potential.

I have a general probability function P(x) = C*exp(-1/T * V(x) ), where T is the temperature, but this just gives a Gauss-function naturally, but what I want is to make a graph like this:

http://demonstrations.wolfram.com/HarmonicOscillatorEigenfunctions/

I know this one is quantum mechanical, but for high quantum numbers I should get a similar looking graph (smooth, without all the peaks).

Can anybody tell me what I am doing wrong? I can't really see what I should do to get the correct result using this probability function.

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# Homework Help: Classical particle distribution in a harmonic potential question

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