Thanks,
I feel like an idiot. (Maybe I am). Can odelin solve Shrodinger's eq for arbitrary Energy for the x^4 potential? I entered it in for E = 3 and it's still working on it. Should I let it run all night?
Rich
------------Original Message------------
From: Barton Willis <willisb at unk.edu>
To: "Richard Hennessy" <rvh2007 at comcast.net>
Cc: "Maxima List" <maxima at math.utexas.edu>
Date: Sun, May-4-2008 7:52 PM
Subject: Re: [Maxima] Bessel_I problem
-----maxima-bounces at math.utexas.edu wrote: -----
>Also, the Shrodinger's eq for the x^4 potential can be solved in
>Mathematica for the special case where Energy = 0. Maxima can't do that
>it seems, but I was trying to find a way to work around that and do it in
>Maxima.
(%i18) load(odelin)$
(%i21) -'diff(f,x,2) + mu^2 * x^4 * f = 0;
(%o21) f*mu^2*x^4-'diff(f,x,2)=0
(%i22) odelin(%,f,x);
(%o22)
{bessel_j(-1/6,-(%i*mu*x^3)/3)*sqrt(-x),bessel_y(-1/6,-(%i*mu*x^3)/3)*sqrt(-x)}
For numerical evaluation, you're on your own.
Barton