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Nusc
Feb13-10, 10:18 PM
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

Nusc
Feb13-10, 11:01 PM
Nevermind.

Nusc
Feb13-10, 11:38 PM
Actually,

http://galileo.phys.virginia.edu/classes/751.mf1i.fall02/CoherentStates.pdf

how does [A,B^2] = 2B[A,B]?

Also,

how is <1|x|0> nonzero?

doesn't position operators anhilate the vacuum state?