Hi,

I asked this question on sage mailing list already and it seems appropriate
to ask here as well. I wish to simplify some calculation that appear in
quantum mechanics. To begin we use non-commutative variables as -

sage: x, y = sympy.symbols('xy', commutative=False)
sage: sympy.expand((x+y)**3)
x**2*y + y**2*x + x*y**2 + y*x**2 + x**3 + y**3 + x*y*x + y*x*y

I want to impose the commutation relation [x,y]=1 and bring the expression
to normal form (i.e. in all terms y appears before x, e.g. x*y gets replaced
by y*x + 1). Is it possible to do this?

If not then can I get the expression such that x*y**2 appears as x*y*y?

Thanks in advance.

Regards,
Rajeev

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