Bose-Einstein statistics

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.

The Bose-Einstein distribution tells you how many particles have a certain energy. The formula is

$n(\epsilon )=\frac{1}{e^{(\epsilon -\mu )/kT}-1}$

with $\epsilon >\mu$ 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 $\epsilon -\mu \gg kT$, then the Maxwell–Boltzmann statistics is a good approximation.

References

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Notes

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