Bose-Einstein statistics
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In statistical mechanics, Bose-Einstein statistics means the statistics of a system where you can not tell the difference between any of the particles, and the particles are bosons. Bosons are fundamental particles like the photon.[1]
The Bose-Einstein distribution tells you how many particles have a certain energy. The formula is
- [math]\displaystyle{ n(\varepsilon) = \frac{1}{e^{(\varepsilon-\mu)/kT}-1} }[/math]
with [math]\displaystyle{ \varepsilon \gt \mu }[/math] and where:
- n(ε) is the number of particles which have energy ε
- ε is the energy
- μ is the chemical potential
- k is Boltzmann's constant
- T is the temperature
If [math]\displaystyle{ \varepsilon-\mu \gg kT }[/math], then the Maxwell–Boltzmann statistics is a good approximation.
References
Notes
- ↑ Bosons have integer (whole number) spin and the Pauli exclusion principle is not true for them.