Non-commuting operators

  • Thread starter S.G.
  • Start date
How do you prove the following identity for non-commuting operators A and B?

Hello S.G.,

you could first use the abbreviation C:= [A,B], so the equation
looks better:

[[C,B],A] = [B,[A,C]]

Then use the definition of the commutator [Y,Z] = YZ-ZY
and in the end, instead of C, use [A,B] again.

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