In quanta mechanics, the point is that we have the schotenger equation. And from that one equation, it gives you a recipe for deriving all the equations of motion in newtonian mechanics. So i would say that energy doesn't play any more important role in quanta mechanics than it did in classical mechanics. It's just that you're using a useful accounting trick to write to the theory in a way that uses energy in very straightforward, important, central way. I am not in favour of long questions, because it just takes time. M they're both hard to understand, audio visually. All right, so you're just listeningto my voice. But i did edit

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