Quantum Mechanics: Probablities

Robben
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Suppose we have a spin##-1## particle in a certain state ##|\phi\rangle## under the ##S_z## basis. How do you find the probabilities that a measurement of ##S_z## will result in the values of ##\hbar,0,## or ##-\hbar##?

Also, what does it mean exactly when it says what is the probability that ##S_x## will result in the value of ##\hbar## in this state?
 
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Could it be that this question should be put to the homework section of these forums?
 
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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