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Advanced Physics Homework Help
Visualizing legendre polynomials in the hydrogen atom.
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[QUOTE="Coffee_, post: 4983654, member: 411705"] Hmm, alright so I opened up Matlab and played around with the equations and I seem to be finding EXACTLY the shapes like in my book when I'm doing the following. So I take the Legendre polynomials where ''m=0'' and m represents the whatever quantum number. I have an infinite countable set of polynomials right now, depending on the value of l(l+1). Anyway this doesn't really matter. The first few polynomials they look like this: ##\Theta_{1}=1## ##\Theta_{2}=cos(\theta)## ##\Theta_{3}=0.5(3cos^{2}(\theta)-1)## Now I plot them in MATLAB in polar coordinates where I put ##r=\Theta_{1}## , ##r=\Theta_{2}##, ##r=\Theta_{3}##, and so on... These exactly the same figures as in my coursenotes. An example in the attachment. So I'm very confused at what I'm looking at. Here I have a variable ''r'' on the figures, while the ''r'' of the wavefunction is totally independent of the angle. [/QUOTE]
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Advanced Physics Homework Help
Visualizing legendre polynomials in the hydrogen atom.
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