Single particle state distribution¶
Occupancy of a single-particle state of bosons is the probability of a single boson to occupy a state with a certain amount of energy. The occupancy depends on the energy of the state and the temperature and the chemical potential of the system.
Conditions:
\(E_i > \mu\).
Links:
- occupancy_of_state¶
Occupancy of single-particle state \(i\).
- Symbol:
n_i- Latex:
\(n_i\)
- energy_of_state¶
Energy of single-particle state \(i\).
- Symbol:
E_i- Latex:
\(E_i\)
- total_chemical_potential¶
Total chemical potential of the system.
- Symbol:
mu- Latex:
\(\mu\)
- temperature¶
temperatureof the system.- Symbol:
T- Latex:
\(T\)
- Dimension:
temperature
- law¶
n_i = 1 / (exp((E_i - mu) / (k_B * T)) - 1)- Latex:
- \[n_i = \frac{1}{\exp{\frac{E_i - \mu}{k_\text{B} T}} - 1}\]