"Tor Olav Kristensen" <tor### [at] hotmailcom> wrote in message
news:Xns### [at] 204213191226...

> > BTW, are you interested in the original functions?
> > The first part of the radial part of the function I've
> > reorganised, because a couple of variables occur
> > several times and this is gives a faster code.
>
> Jaap, I must admit that I know almost
> nothing about quantum mechanics. So I
> don't really understand the formulas
> that I now have modified.

My knowledge isn't so big. At the university I've
had some basic quantum mechanics that I didn't
understand very good I must admit. Later my
understanding has grown because your insight
becomes better when you combine your knowledge.
(Mmmh .. I hope I make myself clear with this.)

> But apart from that; Yes I would like
> to have a look at the original functions.
> Just because I'm curious !

You find it in H_Wave_Text.pov, together with
an explanation about the imaginary part and
my translation principle of the derivative.

You will see that one factor in exp_imPhi has to be
put back:  'm / abs(m)'
If you omit that, then the function is equal for positive
and negative values of 'm'.
'm / abs(m)' gives just the difference you need.
If you render 2p1 and 2p-1 without that factor,
you get identical pictures and with the factor they
have different directions in space.

> I have now had time to do some opti-
> mizations to the math part of your
> code, but I'm afraid the speed
> increase are rather modest.

Modest! It decreases render time with 25% with
my PIII 450MHz. That's considerable. Thank you
for that optimilization.
Your macro's and functions are very keen.
I couldn't have done that and so quickly.
I've still a lot to learn.

Now I have to find a formula for the container
radius, for, thanks to you, I can now choose
any combination I like!

Regards,

Jaap Frank

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