this post was submitted on 27 May 2024
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It's either up or down whatever the direction.
If you measure 100%up-0%down then you rotate your frame of reference by 90°, you automatically get 50%up-50%down... (iirc)
It's weirdly teasing us like that!
Just in case it wasn't clear you can't measure anything other than "100%" up or down spin. The quantum state of it being 50/50 is described by 1/sqrt{2} times the up and down vector, when you measure it you have a probability of getting either result calculated by the square of the absolute (||psi||^2) that way you avoid getting a complex probability.
btw I was too scared to try in case it doesn't but can I use LaTeX in Lemmy comments? $\psi$ Edit: No LaTeX doesn't seem to work and btw I didn't study this so it might be taught differently at uni. This was explained to me in/for the context of quantum computing.
True! Thanks for the clarification, it's been a while since i played with the maths of quantum physics!
After you measure a spin as 100% up, the state will be close to that for a while, si the next measurement has higher chance of being up, with this probability slowly decreasing with time.
I think that assuming the particle has no (extra?) energy it's state does stay the same. That is of course not possible in real life though but the <20 millikelvin in some quantum computers get pretty close.
Also I think nobody says they measure it as 0/100% up, They just say up or down in my limited experience.
Does anyone have any good resources on quantum mechanics? (Most of my information comes from a few professors) There's some useful stuff on chem libretexts (I think that's what it's called) for simple wave functions, but it doesn't seem perfect.
I have old college textbooks in my library, Cohen-Tannoudji. I'm not sure about online resources though...