Scope of Pauli's Exclusion Principle

Aniket1
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What is the scope of Pauli's exclusion principle? When we say two particles in a system cannot have the same quantum state, how do we choose the system?
 
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Roughly speaking, at atomic scale, when quantum mechanics show its importance. The wave behavior of electron is significant at such scales.
 
Any system at all. Two fermions of the same type anywhere in the universe cannot be in the same state. (Of course if one of them is localized on Earth and the other localized on Mars, say, they are in different states!)
 
Bill_K said:
Any system at all. Two fermions of the same type anywhere in the universe cannot be in the same state. (Of course if one of them is localized on Earth and the other localized on Mars, say, they are in different states!)

Thank you
 
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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