On Aug 5, 7:51 pm, Ondřej Čertík <[email protected]> wrote:
> That's right. There are basically 2 approaches:
>
> 1) use some particular representation, and simply multiply all the
> matrices and then take a trace
> 2) do things symbolically using the relations between the matrices
>
> I decided to try 1), as it seemed to me, that it should work fine. But
> the resulting matrix is quite a mess, so one would need to figure out
> whether there is some good way to simplify the result.

Thats the problem I saw - no manifest Lorentz covariance.

>
> As to 2), I think there the difficulty is in the fact, that one needs
> to know which rules to apply and how. If you go this route, I would be
> very interested if you manage to get it working.

I already have some ideas about that, but currently I wonder how one
does implement non-commutative symbols with indices. Are there any
plans to support indices with covariance?

On Aug 5, 8:49 pm, Brian Granger <[email protected]> wrote:
> The best starting place is to look at how we handle spin in
> sympy.physics.quantum.spin.  I should note that we don't have a
> symbolic trace operation, but that could be implemented quite easily.

Thank you for the pointer, I will have a look into it.

Christopher

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