What does does [H1,H2] = 0 mean if each H is a hamiltonian of a quantum system
I'm trying to get through a research paper on theoretical quantum biology and I just want to make sure I'm interpreting this relation nearly correctly. Is this equivalent to saying that the two Hamiltonians are orthogonal? Or that the eigenstates of the Hamiltonian are orthogonal?
Here is an excerpt from the paper for context.
I don't have enough time to learn all of the math right now as this is partially for a class presentation for the undergrad physics seminar course i'm in, but I want to get the gist of the theory.
Here's a link to the paper for anyone interested. http://arxiv.org/abs/1408.5798