- #1
damarkk
- 12
- 2
- Homework Statement
- How to find a number of accessible quantum states of a gas particle with spin S and given T, N (number of particles of the system)?
- Relevant Equations
- Boson gas, Fermion gas
It's given a gas of particles all identical which has T fixed and spin S. Let's ##g(\epsilon)## the density of orbital states and
##g(\epsilon) = g_0## for ##\forall \epsilon \in [\epsilon_0, \epsilon_1]##, zero otherwise.
How to compute the number of accessible quantum states of one particle?
This is my attempt, and I suspect that is not good. Let S=0 and then bosons in a system.
Simply, if we have the density of orbitals we have to integrate ##g(\epsilon)## and we have ##\int_{\epsilon_0}^{\epsilon_1} g(\epsilon) d\epsilon## and we get that is ##g_0(\epsilon_1-\epsilon_0)##.
##g(\epsilon) = g_0## for ##\forall \epsilon \in [\epsilon_0, \epsilon_1]##, zero otherwise.
How to compute the number of accessible quantum states of one particle?
This is my attempt, and I suspect that is not good. Let S=0 and then bosons in a system.
Simply, if we have the density of orbitals we have to integrate ##g(\epsilon)## and we have ##\int_{\epsilon_0}^{\epsilon_1} g(\epsilon) d\epsilon## and we get that is ##g_0(\epsilon_1-\epsilon_0)##.
