Bose-Einstein statistics

one of two possible ways in which a collection of non-interacting indistinguishable particles may occupy a set of available discrete energy states, at thermodynamic equilibrium

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

with 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 , then the Maxwell–Boltzmann statistics is a good approximation.

ReferencesEdit

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

NotesEdit

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