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Commutators with boson operators
Hello, I need some help. I want to write code that Mathematica would calculate commutators [A,B], [A,[B,C]] and so on..., where A,B,C,D,... are functions like A = a+ b*creat + c*annih + d*creat**annih + e*annih**creat + f*creat^2+g*annih^2+... where a,b,c,d,... are usual complex numbers; and annih & creat are boson noncommutative operators that satisfy commutation relation: [annih, creat] = 1. Thank you in advance!