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The Schrodinger equation is a mathematical model, or sometimes also referred to as a deterministic model... So why in the world are we associating a probabilistic function with it?

I'm not saying that it's wrong or that it doesn't provide insight, because it most definitely does and obviously has provided quite a revolution in modern technology. However, it does seem rather limiting to use a mathematical model in such a way...

Does anyone understand what I'm saying? Any insight would be greatly appreciated.