I Spin state, base transformation

usai
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how do i write the z spin state using the spin state on x or on y?
 
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usai said:
how do i write the z spin state using the spin state on x or on y?
:welcome:
Have you tried an Internet search?
 
PeroK said:
Have you tried an Internet search?
He did. He asked us.
 
@usai you might not find the responses above completely helpful? :) :)

Seriously, kidding aside, PhysicsForums is generally better at helping people over the hard spots than laying out an entire lecture-equivalent tutorial (better done by textbooks and online course materials). So if you can get hold of a good online explanation of the algebra of the spin operators - several out there and some other poster may chime in with their favorite - and start in on it, come back with a more focused question as soon as you hit a hard spot you'll get better and more helpful answers.

Another way of thinking about it: Suppose you are taking a college-level intro to QM course as part of a physics bachelor's degree (which is about right for this topic and consistent with the I rating you gave the thread). You walk into your professor/TA's office during office hours with this question, the absolute first thing you're going to hear is "How far into the textbook/course notes did you get?". Same thing here, except with the general unstructuredness of the internet layered on top.
 
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I am not sure if this belongs in the biology section, but it appears more of a quantum physics question. Mike Wiest, Associate Professor of Neuroscience at Wellesley College in the US. In 2024 he published the results of an experiment on anaesthesia which purported to point to a role of quantum processes in consciousness; here is a popular exposition: https://neurosciencenews.com/quantum-process-consciousness-27624/ As my expertise in neuroscience doesn't reach up to an ant's ear...
I am reading WHAT IS A QUANTUM FIELD THEORY?" A First Introduction for Mathematicians. The author states (2.4 Finite versus Continuous Models) that the use of continuity causes the infinities in QFT: 'Mathematicians are trained to think of physical space as R3. But our continuous model of physical space as R3 is of course an idealization, both at the scale of the very large and at the scale of the very small. This idealization has proved to be very powerful, but in the case of Quantum...

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