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

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

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

References

• Griffiths, David J. (2005). Introduction to quantum mechanics (2nd ed.). Upper Saddle River, NJ: Pearson, Prentice Hall. ISBN 0131911759.