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Re: Commutators with boson operators

• To: mathgroup at smc.vnet.net
• Subject: [mg97826] Re: [mg97769] Commutators with boson operators
• From: Filippo Miatto <miatto at gmail.com>
• Date: Sun, 22 Mar 2009 05:51:53 -0500 (EST)
• References: <200903211016.FAA14634@smc.vnet.net>

For the creation and annihilation operators you could use their matrix  
form, you can find it in The Quantum Theory of Fields Vol. 1 by Weinberg

On Mar 21, 2009, at 11:16 AM, Volodymyr wrote:

> 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!
>

• References:
  • Commutators with boson operators
    • From: Volodymyr <ktpist@ukr.net>