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Fermi-Dirac statistics |
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Fermi-Dirac statistics, class of statistics that applies to particles called fermions. Fermions have half-integral values of the quantum mechanical property called spin and are "antisocial" in the sense that two fermions cannot exist in the same state. Protons, neutrons, electrons, and many other elementary particles are fermions. See Bose-Einstein statistics Bose-Einstein statistics, class of statistics that applies to elementary particles called bosons, which include the photon , pion , and the W and Z particles . ..... Click the link for more information. ; elementary particles elementary particles, the most basic physical constituents of the universe. Basic Constituents of MatterMolecules are built up from the atom , which is the basic unit of any chemical element . ..... Click the link for more information. ; statistical mechanics statistical mechanics, quantitative study of systems consisting of a large number of interacting elements, such as the atoms or molecules of a solid, liquid, or gas, or the individual quanta of light (see photon ) making up electromagnetic radiation. ..... Click the link for more information. . Fermi-Dirac statisticsIn quantum mechanics, one of two possible ways (the other being Bose-Einstein statistics) in which a system of indistinguishable particles can be distributed among a set of energy states. Each available discrete state can be occupied by only one particle. This exclusiveness accounts for the structure of atoms, in which electrons remain in separate states rather than collapsing into a common state. It also accounts for some aspects of electrical conductivity. This theory of statistical behaviour was developed first by Enrico Fermi and then by P.A.M. Dirac (1926–27). The statistics apply only to particles such as electrons that have half-integer values of spin; the particles are called fermions. |
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| The method is based on an iterative and self-consistent solution of the charge neutrality equation with full Fermi-Dirac statistics for the carriers at finite temperature and on the use of statistical analyses to give analytic expressions that represent the calculated data sets. It gets its name because it proposes that for every particle known to the standard model there exists a supersymmetric partner that has the same properties but obeys the opposite of the two kinds of statistical law that apply to subatomic particles, Bose-Einstein statistics and Fermi-Dirac statistics. What Alder calls the "really deep problem" is related to the feature of quantum mechanics known as Fermi-Dirac statistics. |
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Fermi-Dirac statistics
