Confused about the Pauli Exclusion Principle....

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SUMMARY

The Pauli Exclusion Principle states that no two electrons can occupy the same quantum state, which applies to fermions, including protons and neutrons. This principle is a fundamental aspect of Quantum Field Theory, specifically articulated in the spin statistics theorem. It dictates that for spin 1/2 particles, such as electrons, their quantum states must be unique, leading to the filling of energy levels in atoms from lowest to highest. This principle is crucial for understanding atomic structure and the concept of solidity in matter.

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  • Understanding of quantum states and their properties
  • Familiarity with fermions and their characteristics
  • Basic knowledge of Quantum Field Theory
  • Concept of spin statistics theorem
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Students in physics, particularly those studying quantum mechanics, as well as educators and anyone interested in the fundamental principles governing atomic and subatomic particles.

Lance Fernandes
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The principle states that two electrons cannot have the same quantum numbers. And I've read that this applies to "fermions"- protons, neutrons, 1/2 spin particles. But how exactly does this apply to, say, a proton? Sorry if I sound stupid...I've got all my knowledge about this through the internet. I'm in the 10th grade as well. So I'm not too fimiliar with the complex stuff :') Thanks!
 
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The same way for any spin 1/2 particles - it matters not as far as this is concerned

There is this thing called a quantum state which is a property quantum particles have. It allows us to predict the probabilities of the outcomes of observations. There is a very important theorem of the most advanced form of quantum theory, called Quantum Field Theory, known as the spin statistics theorem:
http://www.worldscientific.com/worldscibooks/10.1142/3457#t=aboutBook

What this theorem says, is for spin 1/2 particles, no two particles can be in exactly the same state - its called the Pauli Exclusion Principle

This has all sorts of interesting consequences. For example the states of electrons (they are spin 2 particles) in atoms can only take on certain values - usually described by the energy in those states. But since no two electrons can be in the same state they get filled up from the lowest energy to the highest. If you try to push two atoms together they attempt to fill up states already filled - but the exclusion principle says you can't do that. It resits it and says - no. In fact this is the very origin of solidity:


For protons check out the following:
http://hyperphysics.phy-astr.gsu.edu/hbase/nuclear/shellpau.html

Thanks
Bill
 

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