Can Maxima find closed form expression



So are you telling me the spikes sticking out of this attachment are not eigenvalues of E?






 ------------Original Message------------
From: Michel Talon <talon at lpthe.jussieu.fr>
To: maxima at math.utexas.edu
Date: Mon, Apr-14-2008 5:21 PM
Subject: Re: [Maxima] Can Maxima find closed form expression

Barton Willis wrote:

> -----maxima-bounces at math.utexas.edu wrote: -----
> 
>> This is from Quantum Mechanics so you are right about the origin of
>> this problem, it is the solution for the time independent Shrodinger's
>> eq. for x^4 potential, which I have posted before to this mailing list
>> in a different issue.
> 
> The QM x^4 potential is solvable in terms of the Heun functions. 

In fact this problem is one of the most studied in the litterature,
starting with Loeffel Martin, and B. Simon A.Wightman, then Bender
Wu, more recently Voros, and many others.


-- 
Michel Talon
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