Saturday 9 December 2017

definition - What does the term $mathcal O(epsilon^2)$ mean?


In the highest upvoted answer to Where does the $i$ come from in the Schrödinger equation? the author writes the following equation:


$$ U^\dagger U=(\mathbb I+\epsilon^* A^\dagger)(\mathbb I+\epsilon A)=I+\epsilon^*A^\dagger+\epsilon A+\mathcal O(\epsilon^2) $$


What does that last term mean? It looks a lot like the big O notation from asymptotic analysis.




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