Re: [sympy] Re: GSoC Introduction. Perturbation theory example

2011-03-24 Thread Jeron Smuta
2011/3/24 Alexey U. Gudchenko 

>
> 24.03.2011 19:22, weralwolf пишет:
>
> Hi,
>
> It's very hopeful title, but I just notice that :
>
>  Yes, let's use this convention.  Title the page like "GSoC 2011
>> Application Your Name".  Someone go ahead and rename all existing pages to
>> this format.
>>
>> Aaron Meurer
>>
>>
>
> http://groups.google.com/group/sympy/browse_thread/thread/3184d64aefba96c9?hl=en
>
> Thanks! I have rename my application
https://github.com/sympy/sympy/wiki/GSoC-2011-Application-Anatolii-Koval

>
>  So, I went there and create draft of my application:
>> https://github.com/sympy/sympy/wiki/Perturbation-theory-by-Anatolii-Koval
>> . Will be very appreciative to hear some fixes or proposals about it.
>> Also I will write more information little bit later.
>>
>> Anatolii
>>
>>
>
> --
> Alexey U.
>
>
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Re: [sympy] Re: GSoC Introduction. Perturbation theory

2011-03-23 Thread Jeron Smuta
2011/3/23 Julien Rioux 

> On Mar 23, 12:57 pm, weralwolf  wrote:
> > Hello, where my simple example of calculations corrections due to
> > perturbation theory for hole with infinite walls. I thinks I didn't
> > use all sympy features, so if it possible guide me.
> > Source:http://pygments.org/demo/16998/
>
> I think you forgot to put
> from sympy import S
>
> at the top.
>

Yes, thanks, I really miss it! I just remove it in the last moment before
highlighting code.

Did I get it right that you calculate the ground state energy of the
> 1D infinite potential well of width $a$ with a perturbation which is
>  linear in $x$, up to second order in perturbation?
>

Yes, you are right. I try to calculate the ground state energy for that case
what you describe.


> I think in general your code is fine. What you might want to do is
> - have V an operator
> - same for the unpertubed Hamiltonian H
> - being able to write those operators in matrix form in a particular
> basis
> - find the basis which diagonalizes H
> - use this basis to represent H and V in matrix forms
> - compute perturbation theory to first, second, etc. order by looking
> up the matrix forms
> - make it general enough to handle degenerate cases
>
> I think some of this is possible already, but I haven't looked deeply
>  into it.
>

Thanks, I'll look deeply, may be I'll find some solutions of this points.
 I'll search methods to solve it in current SymPy state.

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Re: [sympy] Re: One more GSoC Introduction

2011-03-23 Thread Jeron Smuta
I place example code into "GSoC Introduction. Perturbation theory"
discussion, cause I can't view this or another discussions posted by my or
anyone else after 22.03.11

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