13.16 Criticism of the Three Statistics

Classical statistics manifested by Maxwell–Boltzmann interprets energy and velocity distribution of the molecules of an ideal gas assuming that all the energy levels are accessible to all the particles of the system. Actually, certain energy levels are prohibited to a certain group of particles for which it could not expound some experimental phenomena such as black body radiation, photoelectric effect, specific heat at low temperature, etc. Here comes quantum statistics with the idea of discrete energy exchange to explain them introducing photons and electrons as the elementary particles. Bosons and fermions are very much helpful in the study of nuclear physics. But everything is not perfect with this ...

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