I Physical parameters for spin 1/2 particles

lazayama
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I am having trouble to understand what it means by "physically relevant real parameters" and how does it help us to specify a quantum system.

Let say, we have a state of k half spin electrons? My guess is about the local phase of the spin, and this would make it 2^k parameters since each electron has 2 parameters?

What am I missing?
 
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Could you give an example of what you mean by parameters here? Perhaps for a system of 2 or 3 electrons.

Are you talking about the dimension of the Hilbert space of spin states?
 
Thanks for helping!
The book I am looking has mentioned something like global phase / local phase but I don't quite understand, and how does it related to physical REAL parameter and also describe the state of k half spin electron quantum system?
 
lazayama said:
The book I am looking
Which book? You will get way better and more helpful answers if we have more context here.
 
This is not a published book but a material our instructor gave us, and there is a problem asking us about this, so I am quite confused.
Sorry about the confusion as well!
 
lazayama said:
I am having trouble to understand what it means by "physically relevant real parameters"

If we are unable to look at what "it" says directly, I have no idea how to help with this. Are the materials you refer to online? Or can you at least quote more context from them?
 
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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