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


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[change | change source]

Notes[change | change source]

  1. Bosons have integer (whole number) spin and the Pauli exclusion principle is not true for them.