Understanding the Spin of Electron and Its Quantum Numbers

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According to spin quantum number, the spin value of electron pair is taken as +1/2 and -1/2.
Why should we take only these values. I didn't understand what the spin of electron represents.
 
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How much quantum mechanics do you know? It will make it easier for the answer to be at an understandable level.
 
Please have a look at Dirac's equation.
 
Stephen Raj said:
According to spin quantum number, the spin value of electron pair is taken as +1/2 and -1/2.

The value 1/2 for the spin of the electron is just an intrinsic property of this particle like, say, its mass.
Your question could have been “Why is the electric charge of the electron -1 ?”
 
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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