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Results tagged with pauli-exclusion-principle
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user 50583
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.
2
votes
In which part of physics can we utilize the rotational antisymmetry of certain wave functions?
Any particle with half-integer spin acquires a minus sign under a $2\pi$-rotation.
- 129k
11
votes
Accepted
Quantum mechanics and the atom
Well, we could say, yes, that is simply how quantum mechanics works. But these are not the axioms of quantum mechanics, and the exclusion principle in particular is really only understood in the conte …
- 129k
0
votes
Accepted
What is the correct way of writing the antisymmetrized state of two identical fermions?
Your second option is correct.
Writing
$$ \lvert a_1\rangle\lvert b_2 \rangle - \lvert a_2 \rangle \lvert b_1\rangle$$
does not make sense. The notation $\lvert \psi_1\rangle\lvert\phi_2\rangle$ is s …
- 129k
0
votes
Can indistinguishable particle wavefunctions be written as a product of total observable eig...
Let us formulate your question a bit more abstractly:
You are starting from a one-particle space of the form $H = H_1\otimes\dots \otimes H_k$, where the $H_i$ are spaces like the "position space", "s …
- 129k
4
votes
Why do the laws of quantum mechanics not allow to put a pile of fermions all at a same place?
The reason fermions and bosons behave differently is the spin-statistic theorem, a rather subtle result from relativistic quantum field theory that does not hold in all of quantum mechanics and crucia …
- 129k
3
votes
Accepted
Why aren't triplet states in Hydrogen molecule bound by Pauli's principle?
Pauli exclusion forbids more than one fermion in the same state. But what you're writing down in $\lvert \uparrow\uparrow\rangle$ is just the "spin component" of the state - the two electrons still ca …
- 129k
37
votes
Accepted
What's the point of Pauli's Exclusion Principle if time and space are continuous?
The other answer shows nicely how one may interpret the Pauli exclusion principle for actual wavefunctions. However, I want to address the underlying confusion here, encapsulated in the statement
…
- 129k
29
votes
Accepted
Position of protons and neutrons in a nucleus
This does not violate the exclusion principle because the exclusion principle merely states that there cannot be more than one fermion in the same quantum mechanical state. In the case of two protons …
- 129k