It is a "scalar field", not a "scalar potential". But yes, there is no need to deal with degenerate (line or surface) charge distributions for the moment.
On 29 May 2013 12:57, Sachin Joglekar <[email protected]> wrote: > @Stefan, as I have mentioned in my proposal, I am not yet clear how I am > gonna represent and deal with special charge distributions. For the time > being, is it cool if I take 'rho' as a scalar potential? > > > On Wed, May 29, 2013 at 4:13 PM, Stefan Krastanov < > [email protected]> wrote: > >> Be aware that I did not check whether what I asked has an analytical >> solution. Feel free to change the details. >> >> >> On 29 May 2013 08:14, Sachin Joglekar <[email protected]> wrote: >> >>> I will dedicate this first week's blogpost (codesachin.blogspot.in) to >>> a written solution (on paper) of the generic problem posted by Stefan. >>> By the end of my GSoC period, I hope to enable my proposed module to >>> solve problems of such type entirely in code. Hence, having the API in mind >>> would be a good idea for now. >>> I will post the code API I have in mind on the wiki page, as suggested >>> by Stefan. I will point the page to my blogpost with the working showed. >>> Gilbert, Stefan and Prasoon, you guys can comment on my blogpost and modify >>> the wiki page as you see right. >>> >>> >>> On Wed, May 29, 2013 at 11:24 AM, Gilbert Gede <[email protected]>wrote: >>> >>>> I think Stefan has already covered many good points here. >>>> >>>> I would request that in addition to the mock sympy sessions, you also >>>> write out (by hand or using something like LaTeX) the problems and make >>>> them available on the same wiki page. I find it helpful to see the >>>> notations people are working with (and thinking in). >>>> >>>> -Gilbert >>>> >>>> >>>> On Tue, May 28, 2013 at 3:23 AM, Stefan Krastanov < >>>> [email protected]> wrote: >>>> >>>>> Hi Sachin and Prasoon, >>>>> >>>>> I have also CCed Aaron, Gilbert and the mailing list as a whole. If >>>>> you have questions send them publicly to the mailing list, not privately >>>>> to >>>>> the mentors (unless you consider the issue to really be a private matter) >>>>> >>>>> First of all, congratulations! >>>>> >>>>> Be sure to setup blogs for gsoc (or a gsoc category with a dedicated >>>>> rss feed if you want to reuse a personal blog). >>>>> >>>>> We also encourage you to help with reviews during your projects. For >>>>> instance, set aside a few hours or even a whole afternoon each week >>>>> dedicated to pull request reviews (checking the code for antipatterns, >>>>> pulling it and playing around with the new functionality, checking >>>>> coverage, etc). In your case this would be easier as anyway you will need >>>>> to review each others work, but checking other pull request from time to >>>>> time would be beneficial. >>>>> >>>>> During the application period we also asked you to comment on >>>>> each-others applications. It would be great if you can share those >>>>> comments >>>>> now. You are probably going to get as much help from each other as you >>>>> will >>>>> get from Gilbert, me and the community. >>>>> >>>>> I suggest that we set up a wiki page where you can work together and >>>>> propose the api for the vectors. A possible way to start would be for >>>>> Prasoon to copy the examples given by Sachin in his application and >>>>> complement/fix them as he sees fit and for Sachin to do the same with >>>>> Prasoon's examples (only the vector relate examples in both cases). >>>>> >>>>> Also, it would be great if you can provide a mock SymPy session for >>>>> the following problem (it is from electromagnetism because of Sachin's >>>>> project, but focus for now only on the vectors api). >>>>> >>>>> 1. (the space) In 3D flat space. >>>>> 2. (scalar fields) Create a scalar field `rho` which is to represent a >>>>> planar charge density with a Gaussian cross-section. For instance in >>>>> Cartesian or cylindrical coordinates rho=exp(-z^2). >>>>> 3. (vector fields) Create a vector field `B` which is constant in >>>>> time, homogeneous in space, pointing in the z direction. >>>>> 4. (vectors that are not vector fields) Set up a particle at some >>>>> arbitrary coordinates with some arbitrary initial velocity. >>>>> 5. (trajectories, parametrized lines) Imagine that you have a black >>>>> box which takes the world as input and outputs a trajectory for the >>>>> particle. Give the api for that black box. >>>>> >>>>> >>>>> And the following is more related to the Sachin's project, but after >>>>> you finish 1-5 I hope you can both comment on it: >>>>> >>>>> 6. (parametrized fields) how will 2 and 3 look if they depend on time >>>>> 7. (Maxwell) given rho, E and B derive the PDEs governing them. Assume >>>>> there are NO point particles. >>>>> 7a. (Maxwell) given 2 and 3 (or 6) derive the electric field (again >>>>> assume you have a black box for the algorithm and provide only an api) >>>>> >>>>> And this one is rather advanced, you can leave it out for now: >>>>> >>>>> 8. (no particles) Instead of defining 4 and 5, just use DiracDelta >>>>> fields. This is done in Jackson. >>>>> 9. What about other degenerate fields besides point particles in the >>>>> form of DiracDelta. What about line and surface charges. >>>>> >>>>> In any case, do not just to questions 6-9. Take your time and respond >>>>> in details to 1-5. And please do it in a well formated wikipage, not here >>>>> on the mailing list. >>>>> >>>>> Stefan >>>>> >>>> >>>> >>> >> > -- You received this message because you are subscribed to the Google Groups "sympy" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. 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