In the interaction picture, we often do the rotating wave approximation where terms like $e^{i(\omega_1 + \omega_2)t}$ are ignored because they represent rapidly oscillating terms which ends up canceling each other out on average. In the literature this term is often called a "counter-rotating term". I know that the interaction picture is equivalent to a rotating frame but not sure how this term $e^{i(\omega_1 + \omega_2)t}$ represents counter-rotation. So, my question is why do we use this specific phrase?


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