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The Pauli exclusion principle can be derived from relativistic quantum field theory. Even though the Pauli exclusion principle is still important in the non-relativistic approximation, the reason for it is deeply rooted in relativistic QFT. The theorem is called the spin-statistics theorem. The inputs to the theorem include.
The Pauli exclusion principle is not a force. At first glance, it seems like Fermions repel and Bosons attract. But at no point does the exclusion principle apply any force! Particles in a box push on the box (the L^2 term means that the energy of a given state is lower for bigger boxes). Higher energy quantum numbers push harder.
In other words, humans inferred the existence of pauli exclusion principle and from that, the abundance of heavier elements other than hydrogen of which we are made like carbon and oxygen which would not have formed if it werent for the exclusion principle...and then we thought to ourselves the only reason we were able to infer the existence of ...
I've never seen the Pauli exclusion principle described as "sassy"! But in any case, I would say yes: the electrons in any atom are (in some sense trivially) entangled because you have to anti-symmetrize the many-electron wave function, and such a state cannot be a product state. Entanglement arising from (anti-)symmetrization is a subtle issue ...
Pauli exclusion principle states that in a single atom no two electrons will have an identical set or the same quantum numbers (n, l, m, and s). To put it in simple terms, every electron should have or be in its own unique state (singlet state). There are two salient rules that the Pauli Exclusion Principle follows:
10. As a starting quantum physicist I am very interested in reasons why does Pauli's Exclusion Principle works. I mean standard explanations are not quite satisfying. Of course we can say that is because of fermionic nature of electrons - but it is just the different way to say the same thing. We can say that we need to antisymmetrize the ...
Pauli exclusion principle is a consequence of the Fermi statistics for free fermionic fields. I am going to provide a sketch of the derivation here. First, consider the bosonic case. The space of states free bosonic quantum field (Fock space) is constructed by applying the bosonic creation/annihilation operators. a(p), a†(p). a (p), a † (p).
Neutrons are certainly distinguishable from protons, and both separately satisfy the Pauli exclusion principle, i.e. the exclusion is on identical protons by themselves, and on identical neutrons by themselves. The nuclear force is largely independent of the electric charge and affects neutrons and protons in approximately the same wave. As a ...
So everywhere, all systems that once had restricted particle number due to the Pauli exclusion principle, would allow for unlimited particle numbers in the same state. Stars, planets, everything will begin to collapse.
The exchange interaction is, on the contrary, one of the approximate low-energy consequences of the Pauli exclusion principle and the identical character of the particles. The fundamental justification of these facts is offered by quantum field theory.