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.
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!

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