# Homework Help: Commutator math problem

1. Feb 13, 2010

### Nusc

1. The problem statement, all variables and given/known data

$$[A,exp(X*B)] = exp(X*B)[A,B]X$$

Is there a name for this relation?

2. Relevant equations

3. The attempt at a solution

If not, how do you prove it?

A(X*B)^n/n! - (X*B)^n/n! * A

2. Feb 13, 2010

### Nusc

Re: Commutator

Nevermind.

3. Feb 13, 2010

### Nusc

Last edited: Feb 14, 2010