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## Main Question or Discussion Point

I keep hearing jargon like "the algebra generated by the hamiltonian", and I'd like to get to the bottom of it.

Given a set of hamiltonians, does the "algebra that they generate" refer to the unitaries that they generate and their subsequent combinations? Or does it refer to the hamiltonians themselves along with their nested commutators or something?

A

Given a set of hamiltonians, does the "algebra that they generate" refer to the unitaries that they generate and their subsequent combinations? Or does it refer to the hamiltonians themselves along with their nested commutators or something?

A

*rigorous*reference to any of this would be greatly appreciated, whether it be a text book or a paper.