quantum statistics


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Quantum statistics

The statistical description of particles or systems of particles whose behavior must be described by quantum mechanics rather than by classical mechanics. As in classical, that is, Boltzmann statistics, the interest centers on the construction of appropriate distribution functions. However, whereas these distribution functions in classical statistical mechanics describe the number of particles in given (in fact, finite) momentum and positional ranges, in quantum statistics the distribution functions give the number of particles in a group of discrete energy levels. In an individual energy level there may be, according to quantum mechanics, either a single particle or any number of particles. This is determined by the symmetry character of the wave functions. For antisymmetric wave functions only one particle (without spin) may occupy a state; for symmetric wave functions, any number is possible. Based on this distinction, there are two separate distributions, the Fermi-Dirac distribution for systems described by antisymmetric wave functions and the Bose-Einstein distribution for systems described by symmetric wave functions. See Boltzmann statistics, Bose-Einstein statistics, Exclusion principle, Fermi-Dirac statistics, Kinetic theory of matter, Quantum mechanics, Statistical mechanics

McGraw-Hill Concise Encyclopedia of Physics. © 2002 by The McGraw-Hill Companies, Inc.

quantum statistics

[′kwän·təm stə′tis·tiks]
(statistical mechanics)
The statistical description of particles or systems of particles whose behavior must be described by quantum mechanics rather than classical mechanics.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Young and in future outstanding Italian physicist Enrico Fermi (19011954) awarded in 1938 the Nobel Prize in physics for their discovery of artificial radioactivity, chemical elements, caused by the bombing of them by <<slow>> neutrons, in 1925 regardless of when also the young and also in future the outstanding British theoretical physicist Paul Dirac in the future (1902-1984) which became in 1933 for the discovery of new productive forms of atomic theory (for the creation of quantum mechanics) the Nobel Prize in physics [3] developed a quantum statistics for microparticles with half-integer spin (such as electrons, protons, neutrons, and other representatives of the microcosm of matter) [7].
Fosdick, The Monte Carlo method in quantum statistics, SIAM Review 10, 315 (1968).
However, the indeterminacy expressed in quantum statistics refers to the state and not to the process.
Einstein's scientific work was wide-ranging; other significant items include analysis of the "Brownian motion" of microscopic particles showing how it could be used to determine fundamental constants of nature, an early explanation of the specific heat of solids, improvements on the explanation of blackbody radiation, and development of the quantum statistics of identical particles.
More enlightening blood quantum statistics to deprive individuals and tribes of their rights.
BECs were first predicted in 1925 by Albert Einstein as a consequence of quantum statistics [27].
Second, the quantum statistics that govern the probabilities of finding atoms or electrons in given locations are more complicated than those in classical statistical mechanics.