We started Quantum Physics in class, and I tried working out the Schrodinger Equation (not mathematically, of course - that's far beyond my level. Just the vague concepts)(adsbygoogle = window.adsbygoogle || []).push({});

I understand it's basically a function that shows how something changes in time, and a snapshot of it at one particular moment describes possible positions of something.

What I really don't understand is why you square the amplitude to get the probability. I understand that the amplitude is a complex number, and squaring it would solve that (I believe... I've never formally learned about complex numbers), but I'm really confused as to why you would square it.

I assumed that it's not so much that you take amplitude and square it to find probability, but that you take probability and root it to find amplitude... but still, why? What does amplitude by itself represent?

The amplitude allows for interference, whereas the probability doesn't... I also figured that much... but still, I'm at a bit of a loss.

To confirm, matter-waves are probability waves for each particle? They are used for the Schrodinger Equation?

I'm having so much trouble tying this all together, haha.

Thanks in advance for any explanation

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# Why amplitude squared gives probability / Schrodinger Equation

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