A quick(?) question about the Pauli exclusion principle

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SUMMARY

The Pauli exclusion principle states that no two fermions, such as electrons, can occupy the same quantum state simultaneously, which is defined by four quantum numbers: n, l, ml, and ms. The principle applies regardless of the spatial proximity of particles; what matters is their quantum states rather than their positions. In the case of quarks within baryons, they can occupy the same space due to the presence of an additional quantum number known as "color," which allows them to differ in this respect and thus not violate the exclusion principle.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with quantum numbers (n, l, ml, ms)
  • Knowledge of fermions and bosons
  • Basic concepts of particle physics, specifically baryons and quarks
NEXT STEPS
  • Study the implications of the Pauli exclusion principle in atomic structure
  • Explore the concept of "color charge" in quantum chromodynamics
  • Investigate the behavior of fermions versus bosons in particle physics
  • Learn about the role of quantum numbers in determining particle states
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Students and professionals in physics, particularly those focused on quantum mechanics, particle physics, and atomic theory, will benefit from this discussion.

jeebs
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Hi,
This might be an ignorant question but I have to ask it. The exclusion principle forbids particles from existing with the same quantum numbers, like, if you had 2 electrons, they have quantum numbers n, l, ml and ms, and one out of those 4 has to be different, right?

What I was wondering was how close do two particles have to be before the exclusion principle starts working?
obviously two electrons in different atoms can have all the same quantum numbers, but I ask this because I'm reading about quarks in baryons, and apparently they violate the principle, so how come they can get close enough to each other to be in the same particle?

I get the feeling there's something huge here that I don't quite understand yet.
 
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Hi jeebs! :smile:
jeebs said:
What I was wondering was how close do two particles have to be before the exclusion principle starts working?

"close"? … I think you're thinking of free particles.

Particles such as electrons round an atom are in the same ball-game, and it only has certain available quantum numbers …

it doesn't matter how "close" two electrons are (eg are they on opposite sides of the atom?): what matters is their orbits, not their instantaneous positions.
I'm reading about quarks in baryons, and apparently they violate the principle, so how come they can get close enough to each other to be in the same particle?

They have to be different "colours", and "colour" is a quantum number. :wink:
 
I believe the apparent violation of the exculsion principle was used to show that another quantum number (dubbed colour) exists.
 

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