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Questions tagged [pauli-exclusion-principle]

The Pauli exclusion principle states that two identical fermions, (so with half-integer spin) cannot occupy the same quantum state simultaneously, and thus share all of their quantum numbers. Also use for structure and classification schemes involving antisymmetry.

The Pauli exclusion principle states that two identical fermions, (so with half-integer spin) cannot occupy the same quantum state simultaneously, and thus share all of their quantum numbers. Also use for structure and classification schemes involving antisymmetry.

428 questions
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Capacity of an orbital to hold muons and electrons

In a normal atom, there is a limit of 2 electrons per obital due to the Pauli-Exclusion principle. I have seen people talking about replacing an electron with a muon, but since muons and electrons are distinguishable, would this then allow 2…
Nick
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Does the many body fermion spatial wavefunction go to zero when two wavefunctions approach each other?

This question assumes the fermions have the same spin eigenstate. I have been told if somehow one could take the limit as two identical fermion states approach to the same state the total wavefunction goes to zero. $$ \Psi(1,2) = \big( |1\rangle_1…
linuxfreebird
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Is every electron in the Universe in a different quantum state?

Is every electron in the Universe in a different quantum state? Is this what the Pauli Exclusion Principle tells us?
Alex
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Is the position of an electron part of his quantum state? Pauli exclusion principle

I have a problem regarding the Pauli exclusion principle which as far as I understand states that two or more identical fermions cannot occupy the same quantum state. So is the position ($r_1$) of an electron in an atom part of its quantum state…
Salmon
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Is it possible to overcome pauli exclusion principle by smashing together 2 fermions really really hard?

The neutron star avoids further collapses under it's own weight due to degeneracy pressure, I was wondering beside gravity is it possible to overwhelm the pauli exclusion principle by other means such as colliding 2 electron together?
user6760
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Pauli Exclusion Principle with two electrons in box

Suppose that I measure the spin of two electrons in the z direction, and that they have the same spin. Then we put both electrons in a box. After a long time, we know nothing about the spatial distribution of the electrons in the box, so their…
Riemann
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What is the range of degeneracy pressure?

In what way is degeneracy pressure related to the separation of fermions? Is there any influence at ranges like a meter and beyond. I expect the influence at those ranges to be immeasurably small. I just wonder if theory predicts an effect or if…
Alex
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How to show that two spin one half particles must form a anti-symmetric wavefunction?

I am stuck on how to connect the ideas that two spin half particles must form a anti-symmetric wavefunction. Is there a proof on how to show that two spin one half particles must form a anti-symmetric wavefunction?…
linuxfreebird
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How far does the Pauli Exclusion Principle go?

I am reading a paper on Neutron Degeneracy (http://www.physics.drexel.edu/~bob/Term_Reports/John_Timlin.pdf) and it is discussing the Pauli Exclusion Principle. There has to be trillions and trillions of neutrons packed together. Does the PEP mean…
Rick
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