Defining pairwise commuting operators

[Vincent Russo]

Hello, 

I'd like to see if there is a way to define operators that do not commute with themselves, but do commute with elements from a different set. 

For instance, 

from sympy import *
from sympy.physics.quantum.operator import HermitianOperator, Operator

A0 = HermitianOperator('A0')
A1 = HermitianOperator('A1')

B0 = HermitianOperator('B0')
B1 = HermitianOperator('B1')

Here, the variables are noncommutative. However, I do want the "A" variables to commute with the "B" variables. Specifically, I would like it so that [Ax,By] = 0 for all "x" and "y".

Is there a way to do that using the Operator package? Or if not, then just the symbol one? Thanks!

[Aaron Meurer]

I think just normal Symbol('A', commutative=False) behaves like you
want. commutative=False symbols do not commute with each other but
they do commute with commutative=True symbols (which is the default).

Aaron Meurer

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