Low Temperature Properties of the Fermi-Dirac, Boltzman and Bose-Einstein Equations
نویسنده
چکیده
We investigate low temperature (T ) properties of three classical quantum statistics models: (I) the Fermi-Dirac equation, (II) the Boltzman equation, and (III) the Bose-Einstein equation. It is widely assumed that each of these equations is valid for all T > 0. For each equation we prove that this assumption leads to erroneous predictions as T → 0. Our approach to correct these errors gives new low temperature predictions which contradict previous theory. We examine a two state paramagnetism system and show how our new low temperature prediction compares favorably with experimental data.
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