Status: Valid
Owner: ----
Labels: Type-Defect Priority-Medium WrongResult

New issue 3372 by [email protected]: Pauli algebra problems
http://code.google.com/p/sympy/issues/detail?id=3372

Product of Pauli matrices unfortunately don't simplify automatically. It would be a much better experience if they did, but we can live with that for a moment. Worse is that the function provided to perform the simplification gives wrong results.

In [1]: from sympy.physics.paulialgebra import Pauli, evaluate_pauli_product

In [2]: Pauli(1)*Pauli(2)
Out[2]: I*sigma3

So far this works fine.

In [3]: -I*Pauli(1)*Pauli(2)
Out[3]: -I*sigma1*sigma2

The above should simplify automatically to sigma3. But fine, we have a function to perform that simplification:

In [4]: evaluate_pauli_product(_)
Out[4]: -sigma3

But wait, that's wrong!

In [5]: evaluate_pauli_product(_)
Out[5]: sigma3

Hmmm... something is up with the sign returned by evaluate_pauli_product.

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