So a little bit of background I'm using this modules because I could not
figure out how to asign a value to a commutator using
sympy.physics.quantum, and all I want is to use known commutators to
calculate more complicated ones, so my code goes as
from sympy import *
from sympy.physics.secondquant import *
comm1=simplify(Commutator(B(0),Bd(0)).doit())
comm1
which outputs one and should be enough to simplify this next commutator
w1,w2,g=symbols('w1 w1 g')
H=w1*B(0)*Bd(0)+w2*B(1)*Bd(1)+g*Bd(0)*B(1)+conjugate(g)*Bd(1)*B(0)
comm2=simplify(Commutator(H,B(0)))
print(comm2)
However as output I get
g*(-AnnihilateBoson(0)*CreateBoson(0)*AnnihilateBoson(1) +
CreateBoson(0)*AnnihilateBoson(1)*AnnihilateBoson(0)) +
w1*(-AnnihilateBoson(0)*AnnihilateBoson(1)*CreateBoson(1) +
AnnihilateBoson(1)*CreateBoson(1)*AnnihilateBoson(0)) +
w1*(AnnihilateBoson(0)*CreateBoson(0)*AnnihilateBoson(0) -
AnnihilateBoson(0)**2*CreateBoson(0)) +
conjugate(g)*(-AnnihilateBoson(0)*CreateBoson(1)*AnnihilateBoson(0) +
CreateBoson(1)*AnnihilateBoson(0)**2)
and can't figure out how to tell sympy to use the first commutator to simplify
this expression, I know it can be done in Cadabra as some answered me in
github a few days ago.
https://stackoverflow.com/questions/62254012/sympy-how-to-get-simplified-commutators-using-the-second-quantization-module
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