On Mon, Apr 15, 2013 at 12:15 PM, Alan Bromborsky <abro...@verizon.net> wrote:
> On 04/15/2013 12:10 PM, Julien Rioux wrote:
>
>
>
> On Sunday, 14 April 2013 11:49:15 UTC-4, F. B. wrote:
>>
>> Hi there!
>>
>> I noticed the function sympy.physics.matrices.mgamma returns Dirac bases
>> for gamma matrices. What if someone wants to operate in other bases?
>
>
> I think it would just be more confusing to put those in the library code;
> It's easy enough for users to define the 4x4 matrices they want to use in
> their own code. More interesting, to me anyway, would be to be able to work
> with the Dirac algebra (having objects that obey the commutation relations)
> without describing explicitly which matrix form you choose for these
> objects. I think this is what https://github.com/sympy/sympy/pull/1635
> started to do.
>
> Cheers,
> Julien
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>
>
> Attached is a description of the rewrite of the geometric algebra module for
> sympy (sympy pull request 1937, more up to date documentation in pull).
> Especially look at the example of the Dirac equation at the end of GA.pdf.

How much of this document is included in the pull request? Is it just
a copy from the Sphinx docs?

I have started reviewing the code. Unfortunately, I can only provide
overarching comments on things like style and API usage because I
don't know how the math works. Maybe you could find all the people who
have contributed to the module in the past on GitHub and ping them to
review it (write a comment on the pull request with their usernames
with an @ before it, like @brombo. This will subscribe them to email
updates on the pull request).

Aaron Meurer

>
>
> I more complete discription of geometric algebra can be found at -
>
> http://montgomerycollege.edu/Departments/planet/planet/Numerical_Relativity/Cliff.html
>
> Goto link bookGA.pdf and look at multipliction table on page 13.
>
> In the geometric algebra of space time the \gamma_mu are the basis vectors
> for the 4D Minkowski space for spacetime.  Under the geometric product the
> basis vectors obey the commutation relations of the Dirac matrices.
>
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