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Authors:R Shankar
Institution:(1) Department of Physics, University of California, Berkeley, California
Abstract:The aim of this paper is twofold. First, we shall derive the Fermi-Dirac (FD) and Bose-Einstein (BE) distributions from the classical Maxwell-Boltzmann (MB) distribution by introducing into the classical system the consequences of quantum mechanical indistinguishability in a direct and simple manner. Next, we go through a brief introduction to feedback systems and see how the FD and BE systems may be viewed as classical systems with appropriate feedback. We shall see that the resemblance to feedback systems is more than formal and that a feedback mechanism does exist in systems obeying quantum statistical mechanics.
Keywords:Maxwell-Boltzmann distribution  Gibbs's canonical systems  Fermi  Dirac  and Bose-Einstein distributions  symmetrized and antisymmetrized states  positive and negative feedback systems
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