- #1
Bananen
- 8
- 0
Hi!
I need help with the following question:
A system has two energy levels, ε and ε1 that can be occupied by fermions (spin=1/2) that are non-interacting from a reservoir at temperature T and chemical potential μ. Compute the avarage occupation number of the state with energy ε.
I have written down the grand canonical partition function and it is (1+e^(-β(ε-μ))^2)((1+e^(-β(ε1-μ)))^2)
and I know the formula for avarage occupation number for fermions is
ΣnP(n) where n goes from 0 to 1.
But then I'm stuck. The hint I got was that there can be up to four particles and there are different possibilities to put these into the energy levels.
Very thankful for any help!
I need help with the following question:
A system has two energy levels, ε and ε1 that can be occupied by fermions (spin=1/2) that are non-interacting from a reservoir at temperature T and chemical potential μ. Compute the avarage occupation number of the state with energy ε.
I have written down the grand canonical partition function and it is (1+e^(-β(ε-μ))^2)((1+e^(-β(ε1-μ)))^2)
and I know the formula for avarage occupation number for fermions is
ΣnP(n) where n goes from 0 to 1.
But then I'm stuck. The hint I got was that there can be up to four particles and there are different possibilities to put these into the energy levels.
Very thankful for any help!