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Results tagged with pauli-exclusion-principle
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user 21441
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
Does the many body fermion spatial wavefunction go to zero when two wavefunctions approach e...
Pretty much by construction your limit is non-zero: you normalize it all the way as $a\to0$. If you simply consider the norm of your wavefunction as a function of $a$, you'll see that it's $1$ for all …
- 29.6k
6
votes
How can helium have a spin triplet state?
If we ignore spin-orbital coupling, helium atom's wavefunction can be represented by a product of spin part and spatial part. Triplet state is a state where spin part of the wavefunction is symmetric …
- 29.6k
0
votes
Why is the Pauli exclusion principle not considered a sixth force of nature?
Consider a couple of hypothetical particles, all of the known properties of which, like mass, charge, spin etc., are the same as those of the electron, but one additional property $\zeta$ is different …
- 29.6k
13
votes
Can two electrons never touch each other?
Although this is quite an old question, I have to disagree with answer by Luboš.
First, Pauli exclusion principle says that no two fermions can share the same state. But, if the electrons have differ …
- 29.6k
1
vote
How important is the Pauli exclusion principle in the distribution of particles on energy le...
The confusion here seems to be between energy values and energy states. In general, an energy value can be the same for multiple energy states, e.g. for a non-relativistic hydrogen atom in isotropic a …
- 29.6k
5
votes
Taking into account the Pauli Exclusion Principle, how many particles can you cram into a re...
In principle, any finite volume can contain an unlimited number of identical fermions. But the smaller the volume, the larger the spacing between nearby energy levels, and, due to PEP, the higher the …
- 29.6k
2
votes
Accepted
How would Hamiltonian for several fermions with spin look?
Let's speak about 1D particles for simplicity.
What should be understood first of all is that for indistinguishable particles configuration space isn't the same as for distinguishable ones. For two d …
- 29.6k
1
vote
Can we show that the ground state of the He atom is a spin singlet rather than triplet?
First of all, note that the simple description of helium atom, where spin-orbital coupling is neglected, allows to solve for spinor and spatial part of the wavefunction separately. Moreover, for each …
- 29.6k