Questions about Quantum state, Pauli exclusion principle and chemistry.

PrincePhoenix
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According to this website,
http://www.particleadventure.org/pauli.html
"At one time, physicists thought that no two particles in the same quantum state could exist in the same place at the same time. This is called the Pauli Exclusion Principle, and it explains why there is chemistry."
1-What does the "particles in the same quantum state" mean? Does it mean particles for which all four quantum numbers are the same or something else?
2-How does it explain there is chemistry?
 
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1- yes, pretty much
2- if all particles could occupy the same state, (ie. in the chemistry example if electrons were not fermions) they would all occupy the ground state, and never leave. the forcing of electrons into outer orbitals makes it energetically favourably for some electrons to jump into orbitals of nearby atoms to form ionic bonds, and so on...
 
Thanks. That made it clear for me.
 
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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