Accession Number : ADA131525

Title :   An Alternative Approach to Quantum Statistics,

Corporate Author : LOUISIANA STATE UNIV BATON ROUGE DEPT OF PHYSICS AND ASTRONOMY

Personal Author(s) : Teilter,S ; Jajopal,A K

PDF Url : ADA131525

Report Date : 21 Jun 1983

Pagination or Media Count : 15

Abstract : The Fermi-Dirac, Bose-Einstein and, for completeness the Maxwell-Boltzmann, distributions are obtained respectively from considerations of binomial, negative binomial, and Poisson assemblies. The method used has the simplicity of the traditional derivations that are based on combinatorial considerations but involves neither the identification of most probable values with means values nor the invocation of large numbers of particles involved in the use of Stirling's approximation for factorials. The method thereby also relaxes the requirement for large numbers of particles needed in other available derivations that also use mean values, namely, the Darwin-Fowler method of steepest descents and the Khinchin method that employs limit theorems of the theory of probability.

Descriptors :   *Quantum statistics, *Approach, *Methodology, Binomials, Poisson equation, Maxwells equations, Approximation(Mathematics), Particles, Mean, Value

Subject Categories : Quantum Theory and Relativity

Distribution Statement : APPROVED FOR PUBLIC RELEASE