- #1
MartinCort
- 5
- 0
Hello!
Thanks for your time reading my questions.
When I was studying quantum statistical mechanics, I get so confused about the relations between Pauli's exclusion principle and the Fermi-Dirac distributions.
1. The Pauli's exclusion principle says that: Two fermions can't occupy the same quantum states.
2. The Fermi-Dirac distribution tells how many electrons there are in one quantum state with Energy E_i
Is there any possibility that we find a system, which has 2 degeneracy(for example) satisfying both of the requirements?
If so how do we interpret the Fermi-Dirac distribution in this case, because we know when E=E_i, there are two particles, but from the Fermi-Dirac distribution, the average number will be 1?
Thanks for your time reading my questions.
When I was studying quantum statistical mechanics, I get so confused about the relations between Pauli's exclusion principle and the Fermi-Dirac distributions.
1. The Pauli's exclusion principle says that: Two fermions can't occupy the same quantum states.
2. The Fermi-Dirac distribution tells how many electrons there are in one quantum state with Energy E_i
Is there any possibility that we find a system, which has 2 degeneracy(for example) satisfying both of the requirements?
If so how do we interpret the Fermi-Dirac distribution in this case, because we know when E=E_i, there are two particles, but from the Fermi-Dirac distribution, the average number will be 1?