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Results tagged with pauli-exclusion-principle
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user 1325
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.
7
votes
Accepted
Capacity of an orbital to hold muons and electrons
The atomic orbital description of an atom is only an approximation for any atom with more than one electron. Atomic orbitals only exist when the potential is centrally symmetric. With a centrally symm …
- 363k
6
votes
Accepted
Is every electron in the Universe in a different quantum state?
The simple answer is yes, but as usual things are rather more complicated than a simple answer would suggest.
For example, if you take a free electron then it isn't quantised but has a continuous ene …
- 363k
2
votes
Pauli principle for particles very far apart from each other
If you can express the two electrons with a single wavefunction then the Pauli exclusion principle will apply. However apart from the very simplest systems the electrons will interact with their envir …
- 363k
3
votes
Why can't two or more objects exist at the same place at the same time?
Particles are not waves, or at least not in the sense of water waves or electromagnetic waves. It's true that particles are described by a wavefunction, but in general the wavefunction is a complicate …
- 363k
5
votes
Accepted
Why are do neutral atoms shrink as their valence shells approach 8 electrons?
I'm not sure how easy it would be to be to give a rigorous explanation of this. Here's an explanation based on the atomic orbital approach to the electronic structure of atoms. This is only an approxi …
- 363k
4
votes
Accepted
Pauli exclusion principle for the protons in water
You are quite correct. If you have a wavefunction $\Psi$ for the water molecule then swapping the two protons will multiply the wavefunction by -1.
However the wavefunction is not observable, by whic …
- 363k
0
votes
Why are hydrogenic levels used in writing electronic configuration?
You've got two separate questions there. The first question is why we use the hydrogenic orbitals as our basis set in HF-SCF calculations.
We can use absolutely any functions we want in an HF-SCF cal …
- 363k
10
votes
Accepted
Nature of the quantum degeneracy pressure
The degeneracy pressure is indeed due to one of the four fundamental forces, but it takes a bit of though to see why.
If you put fermions into a box then their energy levels are quantised into the us …
- 363k
1
vote
Accepted
Can I achieve BEC with electrons only?
No because electrons are fermions not bosons.
It is possible for fermions to form a BEC if they can pair up with spins opposed to form a bosonic particle. For example this is what happens in supercon …
- 363k
1
vote
Accepted
Impervious nature of solid matter due to quantum degeneracy pressure
Wikipedia to the rescue!
FJ Dyson and A Lenard: Stability of Matter, Parts I and II (J. Math. Phys., 8, 423-434
(1967); J. Math. Phys., 9, 698-711 (1968) ); FJ Dyson: Ground-State Energy of a F …
- 363k
4
votes
Accepted
Are Neutrons and anti-Neutrons attracted to each other over distance?
Neutrons and anti-neutrons repel each other with a Yukawa force mediated by pion exchange. The range of the force is determined by the mass of the pion, and is up to around 3 femtometres. This is only …
- 363k
12
votes
Are fermions and bosons fundamentally different?
Let's take another pair of very similar particles - a helium 4 atom and a helium 3 atom. Under most circumstances there is hardly any difference between them, but once we start looking at a situation …
- 363k
4
votes
Accepted
Aufbau principle in modern quantum theory
The Aufbau principle isn't rigorous because it's based upon the approximation that the electron-electron interaction can be averaged into a mean field. This is called the Hartree–Fock or self-consiste …
- 363k
6
votes
What prevents bosons from occupying the same location?
This is really just a comment to dmckee's answer, but it got a bit long for a comment.
The problem with your question:
what keeps bosons from occupying the same location?
is that no particle ha …
- 363k
6
votes
Pauli exclusion principle in case of the $H_2$ molecule
The Fermi exclusion principle does apply to the proton as well. The ground state of the hydrogen molecule has the proton spins in opposite directions. This is known as parahydrogen. To get the proton …
- 363k