Normalization for Hydrogen Wave Functions

Hydrogen Wave Function Definitions

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Not the best solution, but Y is the only part that contains exp(%i*foo) so conjugate(%Psi[n,l,m](x,y,r)) is the same as %Psi[n,l,m](x,-y,r). If you use this in your integration, all of the integrals do work out to 1.

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For another solution, see /share/orthopoly/h_atom.dem.

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Where is "/share/orthopoly/h_atom.dem" Is this a website?

Rich

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No, it's not a website. Try this:

(%i4) batch("h_atom.dem");
batching #pC:/PROGRA~1/MAXIMA~1.0/share/maxima/5.14.0/share/orthopoly/h_atom.dem

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Changing the y term to -y works for me. I can use that in general for complex valued functions by changing my functions to have one more variable f(x, y, z) --> f(x, y, z, sign). Then white %i as sign*%i everywhere in the function where there is an %i. f(x, y, z, 1)*f(x, y, z, -1) would do it. I think that works all the time unless there is no %i in the function definition (it could still be complex).

Rich
rvh2006@cavtel.net

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I don't see a specific bug report here, and I'm much too lazy to try to puzzle it out. Closing this report.

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Forgot to actually close it.